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221213432440 = 235711135524811
BaseRepresentation
bin1100111000000101011…
…0010001101001111000
3210010222202002201010101
43032001112101221320
512111021114314230
6245342443325144
721660606102550
oct3160126215170
9703882081111
10221213432440
11858a8240a50
1236a57b207b4
1317b25212270
14a9c75d2160
155b4a9d0aca
hex3381591a78

221213432440 has 128 divisors (see below), whose sum is σ = 668281259520. Its totient is φ = 63645811200.

The previous prime is 221213432431. The next prime is 221213432459. The reversal of 221213432440 is 44234312122.

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

It is a junction number, because it is equal to n+sod(n) for n = 221213432399 and 221213432408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2722366 + ... + 2802445.

It is an arithmetic number, because the mean of its divisors is an integer number (5220947340).

Almost surely, 2221213432440 is an apocalyptic number.

221213432440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221213432440 is an abundant number, since it is smaller than the sum of its proper divisors (447067827080).

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

221213432440 is a wasteful number, since it uses less digits than its factorization.

221213432440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524853 (or 5524849 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 221213432440 its reverse (44234312122), we get a palindrome (265447744562).

The spelling of 221213432440 in words is "two hundred twenty-one billion, two hundred thirteen million, four hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5720 8008 10010 20020 40040 5524811 11049622 22099244 27624055 38673677 44198488 55248110 60772921 71822543 77347354 110496220 121545842 143645086 154694708 193368385 220992440 243091684 287290172 303864605 309389416 359112715 386736770 425410447 486183368 502757801 574580344 607729210 718225430 773473540 790047973 850820894 1005515602 1215458420 1436450860 1546947080 1580095946 1701641788 2011031204 2127052235 2430916840 2513789005 2872901720 3160191892 3403283576 3950239865 4022062408 4254104470 5027578010 5530335811 6320383784 7900479730 8508208940 10055156020 11060671622 15800959460 17016417880 20110312040 22121343244 27651679055 31601918920 44242686488 55303358110 110606716220 221213432440