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20022264418275 = 3352729378347581
BaseRepresentation
bin1001000110101110010111…
…11101010100111111100011
32121220002222000220010211000
410203113023331110333203
510111021044142341100
6110330033513523043
74134363243323220
oct443271375247743
977802860803730
1020022264418275
11641a438315019
1222b4547a13483
13b23125b56032
144d312318c947
1524ac597e5900
hex1235cbf54fe3

20022264418275 has 384 divisors, whose sum is σ = 45200007014400. Its totient is φ = 8494788556800.

The previous prime is 20022264418267. The next prime is 20022264418337. The reversal of 20022264418275 is 57281446222002.

20022264418275 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 226 + 4 + 418 + 2 + 7 + 5 = 666.

It is not a de Polignac number, because 20022264418275 - 23 = 20022264418267 is a prime.

It is a super-2 number, since 2×200222644182752 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 20022264418275.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 420779985 + ... + 420827565.

It is an arithmetic number, because the mean of its divisors is an integer number (117708351600).

Almost surely, 220022264418275 is an apocalyptic number.

20022264418275 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20022264418275 is an abundant number, since it is smaller than the sum of its proper divisors (25177742596125).

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

20022264418275 is a wasteful number, since it uses less digits than its factorization.

20022264418275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47756 (or 47745 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 20022264418275 in words is "twenty trillion, twenty-two billion, two hundred sixty-four million, four hundred eighteen thousand, two hundred seventy-five".