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422322223224 = 233111599705391
BaseRepresentation
bin1100010010101000101…
…11011011100001111000
31111101002100202210122010
412021110113123201320
523404403442120344
6522002342525520
742340352445006
oct6112427334170
91441070683563
10422322223224
11153118981070
1269a22a368a0
1330a9516c455
1416624a5da76
15aebb4758b9
hex62545db878

422322223224 has 32 divisors (see below), whose sum is σ = 1151787882240. Its totient is φ = 127976431200.

The previous prime is 422322223187. The next prime is 422322223243.

It is a happy number.

422322223224 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 422322223191 and 422322223200.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 799852432 + ... + 799852959.

It is an arithmetic number, because the mean of its divisors is an integer number (35993371320).

Almost surely, 2422322223224 is an apocalyptic number.

422322223224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422322223224 is an abundant number, since it is smaller than the sum of its proper divisors (729465659016).

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

422322223224 is a wasteful number, since it uses less digits than its factorization.

422322223224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599705411 (or 1599705407 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

It can be divided in two parts, 422322 and 223224, that added together give a palindrome (645546).

The spelling of 422322223224 in words is "four hundred twenty-two billion, three hundred twenty-two million, two hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1599705391 3199410782 4799116173 6398821564 9598232346 12797643128 17596759301 19196464692 35193518602 38392929384 52790277903 70387037204 105580555806 140774074408 211161111612 422322223224