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153222431320 = 23572367355109
BaseRepresentation
bin1000111010110011000…
…1001100001001011000
3112122111100000222121201
42032230301030021120
510002244420300240
6154220040243544
714032665114520
oct2165461141130
9478440028551
10153222431320
1159a88082532
1225841a705b4
13115ab072c5a
1475b7738680
153ebb95dd9a
hex23acc4c258

153222431320 has 128 divisors (see below), whose sum is σ = 417268454400. Its totient is φ = 49499214336.

The previous prime is 153222431249. The next prime is 153222431333. The reversal of 153222431320 is 23134222351.

It is a happy number.

It is a super-2 number, since 2×1532224313202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253926 + ... + 609034.

It is an arithmetic number, because the mean of its divisors is an integer number (3259909800).

Almost surely, 2153222431320 is an apocalyptic number.

153222431320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153222431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208634227200).

153222431320 is an abundant number, since it is smaller than the sum of its proper divisors (264046023080).

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

153222431320 is a wasteful number, since it uses less digits than its factorization.

153222431320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355217 (or 355213 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 153222431320 its reverse (23134222351), we get a palindrome (176356653671).

The spelling of 153222431320 in words is "one hundred fifty-three billion, two hundred twenty-two million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 67 70 92 115 134 140 161 184 230 268 280 322 335 460 469 536 644 670 805 920 938 1288 1340 1541 1610 1876 2345 2680 3082 3220 3752 4690 6164 6440 7705 9380 10787 12328 15410 18760 21574 30820 43148 53935 61640 86296 107870 215740 355109 431480 710218 1420436 1775545 2485763 2840872 3551090 4971526 7102180 8167507 9943052 12428815 14204360 16335014 19886104 23792303 24857630 32670028 40837535 47584606 49715260 57172549 65340056 81675070 95169212 99430520 114345098 118961515 163350140 166546121 190338424 228690196 237923030 285862745 326700280 333092242 457380392 475846060 547222969 571725490 666184484 832730605 951692120 1094445938 1143450980 1332368968 1665461210 2188891876 2286901960 2736114845 3330922420 3830560783 4377783752 5472229690 6661844840 7661121566 10944459380 15322243132 19152803915 21888918760 30644486264 38305607830 76611215660 153222431320