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220332112032 = 25341307182341
BaseRepresentation
bin1100110100110011010…
…0010011100010100000
3210001201022201222210210
43031030310103202200
512102220010041112
6245115201454120
721630015023364
oct3151464234240
9701638658723
10220332112032
118549580797a
1236850941340
1317a14758cb6
14a9425392a4
155ae8443b3c
hex334cd138a0

220332112032 has 96 divisors (see below), whose sum is σ = 594411580224. Its totient is φ = 71418931200.

The previous prime is 220332111941. The next prime is 220332112061. The reversal of 220332112032 is 230211233022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1117182 + ... + 1299522.

It is an arithmetic number, because the mean of its divisors is an integer number (6191787294).

Almost surely, 2220332112032 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 220332112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297205790112).

220332112032 is an abundant number, since it is smaller than the sum of its proper divisors (374079468192).

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

220332112032 is a wasteful number, since it uses less digits than its factorization.

220332112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182702 (or 182694 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 220332112032 its reverse (230211233022), we get a palindrome (450543345054).

The spelling of 220332112032 in words is "two hundred twenty billion, three hundred thirty-two million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 307 328 492 614 656 921 984 1228 1312 1842 1968 2456 3684 3936 4912 7368 9824 12587 14736 25174 29472 37761 50348 75522 100696 151044 182341 201392 302088 364682 402784 547023 604176 729364 1094046 1208352 1458728 2188092 2917456 4376184 5834912 7475981 8752368 14951962 17504736 22427943 29903924 44855886 55978687 59807848 89711772 111957374 119615696 167936061 179423544 223914748 239231392 335872122 358847088 447829496 671744244 717694176 895658992 1343488488 1791317984 2295126167 2686976976 4590252334 5373953952 6885378501 9180504668 13770757002 18361009336 27541514004 36722018672 55083028008 73444037344 110166056016 220332112032