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22158396 = 223213113419
BaseRepresentation
bin101010010000…
…1110000111100
31112200202121100
41110201300330
521133032041
62110533100
7356225511
oct124416074
945622540
1022158396
1111564a27
127507190
13478a9a0
142d2b308
151e2a6b6
hex1521c3c

22158396 has 72 divisors (see below), whose sum is σ = 60999120. Its totient is φ = 6741504.

The previous prime is 22158391. The next prime is 22158401. The reversal of 22158396 is 69385122.

It is an interprime number because it is at equal distance from previous prime (22158391) and next prime (22158401).

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

It is a self number, because there is not a number n which added to its sum of digits gives 22158396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22158391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52675 + ... + 53093.

It is an arithmetic number, because the mean of its divisors is an integer number (847210).

Almost surely, 222158396 is an apocalyptic number.

22158396 is a gapful number since it is divisible by the number (26) 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 22158396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30499560).

22158396 is an abundant number, since it is smaller than the sum of its proper divisors (38840724).

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

22158396 is a wasteful number, since it uses less digits than its factorization.

22158396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 550 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 22158396 is about 4707.2705467181. The cubic root of 22158396 is about 280.8747980543.

The spelling of 22158396 in words is "twenty-two million, one hundred fifty-eight thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 113 117 156 226 234 339 419 452 468 678 838 1017 1257 1356 1469 1676 2034 2514 2938 3771 4068 4407 5028 5447 5876 7542 8814 10894 13221 15084 16341 17628 21788 26442 32682 47347 49023 52884 65364 94694 98046 142041 189388 196092 284082 426123 568164 615511 852246 1231022 1704492 1846533 2462044 3693066 5539599 7386132 11079198 22158396