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22152942 = 23271091613
BaseRepresentation
bin101010010000…
…0011011101110
31112200111010100
41110200123232
521132343232
62110451530
7356203560
oct124403356
945614110
1022152942
1111560919
127503ba6
134788366
142d29330
151e28c7c
hex15206ee

22152942 has 48 divisors (see below), whose sum is σ = 55392480. Its totient is φ = 6267456.

The previous prime is 22152937. The next prime is 22152971. The reversal of 22152942 is 24925122.

It is a happy number.

It is a congruent number.

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, 12928 + ... + 14540.

It is an arithmetic number, because the mean of its divisors is an integer number (1154010).

Almost surely, 222152942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22152942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27696240).

22152942 is an abundant number, since it is smaller than the sum of its proper divisors (33239538).

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

22152942 is a wasteful number, since it uses less digits than its factorization.

22152942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1734 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 22152942 is about 4706.6911944592. The cubic root of 22152942 is about 280.8517516080.

The spelling of 22152942 in words is "twenty-two million, one hundred fifty-two thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 109 126 218 327 654 763 981 1526 1613 1962 2289 3226 4578 4839 6867 9678 11291 13734 14517 22582 29034 33873 67746 101619 175817 203238 351634 527451 1054902 1230719 1582353 2461438 3164706 3692157 7384314 11076471 22152942