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221232344324004 = 2232131187993979147
BaseRepresentation
bin110010010011010110101011…
…010010111101011110100100
31002000022121100110100120112200
4302103112223102331132210
5212444132320121332004
62102304422543214500
764412336505300246
oct6223265322753644
91060277313316480
10221232344324004
1164545123945862
12209903885a7430
13965a174b16570
143c8b9b9d00096
151a89b63464239
hexc935ab4bd7a4

221232344324004 has 72 divisors (see below), whose sum is σ = 602248824777600. Its totient is φ = 68070900457152.

The previous prime is 221232344323973. The next prime is 221232344324021. The reversal of 221232344324004 is 400423443232122.

221232344324004 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 323 + 4 + 4 + 324 + 0 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 221232344324004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53608359 + ... + 57587505.

It is an arithmetic number, because the mean of its divisors is an integer number (8364567010800).

Almost surely, 2221232344324004 is an apocalyptic number.

It is an amenable number.

221232344324004 is an abundant number, since it is smaller than the sum of its proper divisors (381016480453596).

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

221232344324004 is a wasteful number, since it uses less digits than its factorization.

221232344324004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4097969 (or 4097964 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 221232344324004 its reverse (400423443232122), we get a palindrome (621655787556126).

The spelling of 221232344324004 in words is "two hundred twenty-one trillion, two hundred thirty-two billion, three hundred forty-four million, three hundred twenty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 118799 237598 356397 475196 712794 1069191 1425588 1544387 2138382 3088774 3979147 4276764 4633161 6177548 7958294 9266322 11937441 13899483 15916588 18532644 23874882 27798966 35812323 47749764 51728911 55597932 71624646 103457822 143249292 155186733 206915644 310373466 465560199 620746932 931120398 1862240796 472718684453 945437368906 1418156053359 1890874737812 2836312106718 4254468160077 5672624213436 6145342897889 8508936320154 12290685795778 17017872640308 18436028693667 24581371591556 36872057387334 55308086081001 73744114774668 110616172162002 221232344324004