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222986256533040 = 2435711213292909659
BaseRepresentation
bin110010101100111000001000…
…100111000100011000110000
31002020112021111121121101021110
4302230320020213010120300
5213211401323133024130
62110130245544553320
764653140211136650
oct6254701047043060
91066467447541243
10222986256533040
1165060a38633a00
1221014292182840
13975668a982b30
143d0c84179c360
151aba5b6d0aab0
hexcace089c4630

222986256533040 has 960 divisors, whose sum is σ = 967400032435200. Its totient is φ = 41295728517120.

The previous prime is 222986256532999. The next prime is 222986256533077. The reversal of 222986256533040 is 40335652689222.

It is a super-2 number, since 2×2229862565330402 (a number of 29 digits) contains 22 as substring.

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, 75181731 + ... + 78091389.

It is an arithmetic number, because the mean of its divisors is an integer number (1007708367120).

Almost surely, 2222986256533040 is an apocalyptic number.

222986256533040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222986256533040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483700016217600).

222986256533040 is an abundant number, since it is smaller than the sum of its proper divisors (744413775902160).

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

222986256533040 is a wasteful number, since it uses less digits than its factorization.

222986256533040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909746 (or 2909729 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 57.

The spelling of 222986256533040 in words is "two hundred twenty-two trillion, nine hundred eighty-six billion, two hundred fifty-six million, five hundred thirty-three thousand, forty".