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22157408 = 2572131087
BaseRepresentation
bin101010010000…
…1100001100000
31112200201020202
41110201201200
521133014113
62110524332
7356222600
oct124414140
945621222
1022157408
1111564209
1275066a8
13478a3c0
142d2ac00
151e2a258
hex1521860

22157408 has 72 divisors (see below), whose sum is σ = 54698112. Its totient is φ = 8757504.

The previous prime is 22157407. The next prime is 22157417. The reversal of 22157408 is 80475122.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22157407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19841 + ... + 20927.

It is an arithmetic number, because the mean of its divisors is an integer number (759696).

Almost surely, 222157408 is an apocalyptic number.

22157408 is a gapful number since it is divisible by the number (28) 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 22157408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27349056).

22157408 is an abundant number, since it is smaller than the sum of its proper divisors (32540704).

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

22157408 is a wasteful number, since it uses less digits than its factorization.

22157408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 22157408 is about 4707.1656015059. The cubic root of 22157408 is about 280.8706234377.

The spelling of 22157408 in words is "twenty-two million, one hundred fifty-seven thousand, four hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 1087 1274 1456 1568 2174 2548 2912 4348 5096 7609 8696 10192 14131 15218 17392 20384 28262 30436 34784 53263 56524 60872 98917 106526 113048 121744 197834 213052 226096 243488 395668 426104 452192 692419 791336 852208 1384838 1582672 1704416 2769676 3165344 5539352 11078704 22157408