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223056376452 = 2233721323294861
BaseRepresentation
bin1100111110111100110…
…0100011001010000100
3210022202011220222001000
43033233030203022010
512123304413021302
6250245400133300
722054354626300
oct3175714431204
9708664828030
10223056376452
1186663567078
1237291167230
1318059c89b90
14ab20286d00
155c076bd31c
hex33ef323284

223056376452 has 576 divisors, whose sum is σ = 782183001600. Its totient is φ = 54318781440.

The previous prime is 223056376441. The next prime is 223056376463. The reversal of 223056376452 is 254673650322.

223056376452 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 5 + 637 + 6 + 4 + 5 + 2 = 666.

223056376452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223056376441) and next prime (223056376463).

It is a junction number, because it is equal to n+sod(n) for n = 223056376398 and 223056376407.

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 191 ways as a sum of consecutive naturals, for example, 45884502 + ... + 45889362.

It is an arithmetic number, because the mean of its divisors is an integer number (1357956600).

Almost surely, 2223056376452 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 223056376452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391091500800).

223056376452 is an abundant number, since it is smaller than the sum of its proper divisors (559126625148).

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

223056376452 is a wasteful number, since it uses less digits than its factorization.

223056376452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4953 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 223056376452 in words is "two hundred twenty-three billion, fifty-six million, three hundred seventy-six thousand, four hundred fifty-two".