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221234445344 = 251119231438231
BaseRepresentation
bin1100111000001010011…
…0011011110000100000
3210011001012122021102002
43032002212123300200
512111042004222334
6245344513543132
721661252520633
oct3160246336040
9704035567362
10221234445344
1185909093290
1236a62b74aa8
1317b2968b733
14a9ca301c1a
155b4c781b7e
hex338299bc20

221234445344 has 96 divisors (see below), whose sum is σ = 521905628160. Its totient is φ = 91126252800.

The previous prime is 221234445331. The next prime is 221234445347. The reversal of 221234445344 is 443544432122.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 221234445298 and 221234445307.

It is not an unprimeable number, because it can be changed into a prime (221234445347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565292 + ... + 872939.

It is an arithmetic number, because the mean of its divisors is an integer number (5436516960).

Almost surely, 2221234445344 is an apocalyptic number.

It is an amenable number.

221234445344 is an abundant number, since it is smaller than the sum of its proper divisors (300671182816).

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

221234445344 is a wasteful number, since it uses less digits than its factorization.

221234445344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438294 (or 1438286 counting only the distinct ones).

The product of its digits is 368640, while the sum is 38.

Adding to 221234445344 its reverse (443544432122), we get a palindrome (664778877466).

The spelling of 221234445344 in words is "two hundred twenty-one billion, two hundred thirty-four million, four hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 23 32 38 44 46 76 88 92 152 176 184 209 253 304 352 368 418 437 506 608 736 836 874 1012 1672 1748 2024 3344 3496 4048 4807 6688 6992 8096 9614 13984 19228 38456 76912 153824 1438231 2876462 5752924 11505848 15820541 23011696 27326389 31641082 33079313 46023392 54652778 63282164 66158626 109305556 126564328 132317252 218611112 253128656 264634504 300590279 363872443 437222224 506257312 529269008 601180558 628506947 727744886 874444448 1058538016 1202361116 1257013894 1455489772 2404722232 2514027788 2910979544 4809444464 5028055576 5821959088 6913576417 9618888928 10056111152 11643918176 13827152834 20112222304 27654305668 55308611336 110617222672 221234445344