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22665042 = 233432227
BaseRepresentation
bin101011001110…
…1011101010010
31120122111121000
41112131131102
521300240132
62125442430
7363435561
oct126353522
946574530
1022665042
1111880644
127710416
13490748a
14301dbd8
151eca87c
hex159d752

22665042 has 48 divisors (see below), whose sum is σ = 51792480. Its totient is φ = 7346808.

The previous prime is 22665011. The next prime is 22665067. The reversal of 22665042 is 24056622.

22665042 is a `hidden beast` number, since 2 + 2 + 6 + 650 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22664997 and 22665015.

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, 99733 + ... + 99959.

It is an arithmetic number, because the mean of its divisors is an integer number (1079010).

Almost surely, 222665042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22665042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25896240).

22665042 is an abundant number, since it is smaller than the sum of its proper divisors (29127438).

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

22665042 is a wasteful number, since it uses less digits than its factorization.

22665042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 22665042 is about 4760.7816585095. The cubic root of 22665042 is about 282.9993965034. Note that the first 3 decimals are identical.

The spelling of 22665042 in words is "twenty-two million, six hundred sixty-five thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 227 258 387 454 681 774 1161 1362 1849 2043 2322 3698 4086 5547 6129 9761 11094 12258 16641 19522 29283 33282 49923 58566 87849 99846 175698 263547 419723 527094 839446 1259169 2518338 3777507 7555014 11332521 22665042