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221672021561156 = 221753401868117669
BaseRepresentation
bin110010011001110000001010…
…000110100000111101000100
31002001212122020022122102122102
4302121300022012200331010
5213023333300004424111
62103242415412251232
764456163225165435
oct6231601206407504
91061778208572572
10221672021561156
11646a4638214741
1220a41633610b18
13968c77469950a
143ca4da985348c
151a962e833b13b
hexc99c0a1a0f44

221672021561156 has 96 divisors (see below), whose sum is σ = 419610830375520. Its totient is φ = 102075244544000.

The previous prime is 221672021561149. The next prime is 221672021561231. The reversal of 221672021561156 is 651165120276122.

It can be written as a sum of positive squares in 16 ways, for example, as 11189493304900 + 210482528256256 = 3345070^2 + 14508016^2 .

It is a super-2 number, since 2×2216720215611562 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221672021561156.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12545807090 + ... + 12545824758.

It is an arithmetic number, because the mean of its divisors is an integer number (4370946149745).

Almost surely, 2221672021561156 is an apocalyptic number.

It is an amenable number.

221672021561156 is a deficient number, since it is larger than the sum of its proper divisors (197938808814364).

221672021561156 is a wasteful number, since it uses less digits than its factorization.

221672021561156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26825 (or 26823 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 47.

The spelling of 221672021561156 in words is "two hundred twenty-one trillion, six hundred seventy-two billion, twenty-one million, five hundred sixty-one thousand, one hundred fifty-six".

Divisors: 1 2 4 17 34 53 68 106 212 401 802 901 1604 1802 3604 6817 8681 13634 17362 17669 21253 27268 34724 35338 42506 70676 85012 147577 295154 300373 361301 460093 590308 600746 722602 920186 936457 1201492 1445204 1840372 1872914 3481081 3745828 6962162 7085269 7821581 13924324 14170538 15643162 15919769 28341076 31286324 31839538 59178377 63679076 118356754 120449573 153384589 184497293 236713508 240899146 306769178 368994586 375519257 481798292 613538356 737989172 751038514 1502077028 2607538013 3136453981 5215076026 6272907962 6383827369 8129383217 10430152052 12545815924 12767654738 16258766434 25535309476 32517532868 61507220189 123014440378 138199514689 246028880756 276399029378 552798058756 1045622743213 2091245486426 3259882670017 4182490972852 6519765340034 13039530680068 55418005390289 110836010780578 221672021561156