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22696128 = 2632713433
BaseRepresentation
bin101011010010…
…1000011000000
31120201002020100
41112211003000
521302234003
62130242400
7363625320
oct126450300
946632210
1022696128
11118a1a34
127726400
134918680
14302b280
151ed4ba3
hex15a50c0

22696128 has 168 divisors, whose sum is σ = 80251808. Its totient is φ = 5971968.

The previous prime is 22696117. The next prime is 22696129. The reversal of 22696128 is 82169622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×226961282 = 1030228452384768, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22696092 and 22696101.

It is not an unprimeable number, because it can be changed into a prime (22696129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52200 + ... + 52632.

Almost surely, 222696128 is an apocalyptic number.

22696128 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 22696128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40125904).

22696128 is an abundant number, since it is smaller than the sum of its proper divisors (57555680).

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

22696128 is a wasteful number, since it uses less digits than its factorization.

22696128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 458 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 22696128 is about 4764.0453398346. The cubic root of 22696128 is about 283.1287190132.

The spelling of 22696128 in words is "twenty-two million, six hundred ninety-six thousand, one hundred twenty-eight".