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30230234320 = 24511133771419
BaseRepresentation
bin11100001001110111…
…001100010011010000
32220000210112000111011
4130021313030103100
5443402414444240
621515414500304
72120063515636
oct341167142320
986023460434
1030230234320
11119031a7530
125a38064694
132b09ca6c20
14166ac5b356
15bbde566ea
hex709dcc4d0

30230234320 has 160 divisors (see below), whose sum is σ = 84805822080. Its totient is φ = 9872824320.

The previous prime is 30230234263. The next prime is 30230234329. The reversal of 30230234320 is 2343203203.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 30230234291 and 30230234300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30230234329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387571 + ... + 458989.

It is an arithmetic number, because the mean of its divisors is an integer number (530036388).

Almost surely, 230230234320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30230234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42402911040).

30230234320 is an abundant number, since it is smaller than the sum of its proper divisors (54575587760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30230234320 is a wasteful number, since it uses less digits than its factorization.

30230234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71493 (or 71487 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

Adding to 30230234320 its reverse (2343203203), we get a palindrome (32573437523).

The spelling of 30230234320 in words is "thirty billion, two hundred thirty million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 37 40 44 52 55 65 74 80 88 104 110 130 143 148 176 185 208 220 260 286 296 370 407 440 481 520 572 592 715 740 814 880 962 1040 1144 1430 1480 1628 1924 2035 2288 2405 2860 2960 3256 3848 4070 4810 5291 5720 6512 7696 8140 9620 10582 11440 16280 19240 21164 26455 32560 38480 42328 52910 71419 84656 105820 142838 211640 285676 357095 423280 571352 714190 785609 928447 1142704 1428380 1571218 1856894 2642503 2856760 3142436 3713788 3928045 4642235 5285006 5713520 6284872 7427576 7856090 9284470 10212917 10570012 12569744 13212515 14855152 15712180 18568940 20425834 21140024 26425030 29067533 31424360 34352539 37137880 40851668 42280048 51064585 52850060 58135066 62848720 68705078 74275760 81703336 102129170 105700120 116270132 137410156 145337665 163406672 171762695 204258340 211400240 232540264 274820312 290675330 343525390 377877929 408516680 465080528 549640624 581350660 687050780 755755858 817033360 1162701320 1374101560 1511511716 1889389645 2325402640 2748203120 3023023432 3778779290 6046046864 7557558580 15115117160 30230234320