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22274850312 = 2334112132412
BaseRepresentation
bin10100101111101011…
…110011111000001000
32010111101001122020000
4110233223303320020
5331104330202222
614122151203000
71415664050361
oct245753637010
963441048200
1022274850312
1194a0632800
124397976460
13213ca85700
141114488b68
158a58209ac
hex52faf3e08

22274850312 has 540 divisors, whose sum is σ = 76114016055. Its totient is φ = 6078758400.

The previous prime is 22274850293. The next prime is 22274850331. The reversal of 22274850312 is 21305847222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22274850312 is a `hidden beast` number, since 22 + 274 + 8 + 50 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (22274850293) and next prime (22274850331).

It can be written as a sum of positive squares in 5 ways, for example, as 632321316 + 21642528996 = 25146^2 + 147114^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105534.

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

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 134 ways as a sum of consecutive naturals, for example, 543289012 + ... + 543289052.

Almost surely, 222274850312 is an apocalyptic number.

22274850312 is a gapful number since it is divisible by the number (22) 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 22274850312

22274850312 is an abundant number, since it is smaller than the sum of its proper divisors (53839165743).

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

22274850312 is a wasteful number, since it uses less digits than its factorization.

22274850312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 22274850312 in words is "twenty-two billion, two hundred seventy-four million, eight hundred fifty thousand, three hundred twelve".