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22860864 = 2632134371
BaseRepresentation
bin101011100110…
…1010001000000
31121000110012200
41113031101000
521323021424
62133553200
7365212515
oct127152100
947013180
1022860864
11119a4784
1277a5800
134975650
14307130c
1520188c9
hex15cd440

22860864 has 168 divisors, whose sum is σ = 73225152. Its totient is φ = 6773760.

The previous prime is 22860809. The next prime is 22860923. The reversal of 22860864 is 46806822.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321949 + ... + 322019.

It is an arithmetic number, because the mean of its divisors is an integer number (435864).

Almost surely, 222860864 is an apocalyptic number.

22860864 is a gapful number since it is divisible by the number (24) 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 22860864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36612576).

22860864 is an abundant number, since it is smaller than the sum of its proper divisors (50364288).

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

22860864 is a wasteful number, since it uses less digits than its factorization.

22860864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 22860864 is about 4781.3035879350. The cubic root of 22860864 is about 283.8120822584.

The spelling of 22860864 in words is "twenty-two million, eight hundred sixty thousand, eight hundred sixty-four".