Search a number
-
+
221023212441332 = 227131193586953197
BaseRepresentation
bin110010010000010011111010…
…000100001000111011110100
31001222120121112200211012000112
4302100103322010020323310
5212432221014341110312
62102024355001202152
764361254150520510
oct6220237204107364
91058517480735015
10221023212441332
11644744663a5a94
1220957942790358
13964352691c722
143c8181b0b7140
151a844c3461d22
hexc904fa108ef4

221023212441332 has 96 divisors (see below), whose sum is σ = 447813409908480. Its totient is φ = 93496404418560.

The previous prime is 221023212441329. The next prime is 221023212441401. The reversal of 221023212441332 is 233144212320122.

It is a happy number.

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, 4154779358 + ... + 4154832554.

It is an arithmetic number, because the mean of its divisors is an integer number (4664723019880).

Almost surely, 2221023212441332 is an apocalyptic number.

It is an amenable number.

221023212441332 is an abundant number, since it is smaller than the sum of its proper divisors (226790197467148).

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

221023212441332 is a wasteful number, since it uses less digits than its factorization.

221023212441332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59401 (or 59399 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 221023212441332 its reverse (233144212320122), we get a palindrome (454167424761454).

The spelling of 221023212441332 in words is "two hundred twenty-one trillion, twenty-three billion, two hundred twelve million, four hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 131 193 262 386 524 772 917 1351 1834 2702 3668 5404 5869 11738 23476 25283 41083 50566 53197 82166 101132 106394 164332 176981 212788 353962 372379 707924 744758 768839 1132717 1489516 1537678 2265434 3075356 4530868 5381873 6968807 7929019 10267021 10763746 13937614 15858038 20534042 21527492 27875228 31716076 41068084 48781649 71869147 97563298 143738294 148385927 195126596 287476588 296771854 312213193 593543708 624426386 1038701489 1248852772 1344979751 2077402978 2185492351 2689959502 4154805956 4370984702 5379919004 8741969404 9414858257 18829716514 37659433028 40899928283 60257146249 81799856566 120514292498 163599713132 241028584996 286299497981 421800023743 572598995962 843600047486 1145197991924 1687200094972 7893686158619 15787372317238 31574744634476 55255803110333 110511606220666 221023212441332