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22156128 = 2532194049
BaseRepresentation
bin101010010000…
…1001101100000
31112200122111100
41110201031200
521132444003
62110514400
7356216061
oct124411540
945618440
1022156128
1111563255
127505a00
134789947
142d2a568
151e29ba3
hex1521360

22156128 has 72 divisors (see below), whose sum is σ = 66339000. Its totient is φ = 6994944.

The previous prime is 22156111. The next prime is 22156133. The reversal of 22156128 is 82165122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3448 + ... + 7496.

It is an arithmetic number, because the mean of its divisors is an integer number (921375).

Almost surely, 222156128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22156128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33169500).

22156128 is an abundant number, since it is smaller than the sum of its proper divisors (44182872).

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

22156128 is a wasteful number, since it uses less digits than its factorization.

22156128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4084 (or 4073 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 22156128 is about 4707.0296366180. The cubic root of 22156128 is about 280.8652148429.

The spelling of 22156128 in words is "twenty-two million, one hundred fifty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 4049 5472 8098 12147 16196 24294 32392 36441 48588 64784 72882 76931 97176 129568 145764 153862 194352 230793 291528 307724 388704 461586 583056 615448 692379 923172 1166112 1230896 1384758 1846344 2461792 2769516 3692688 5539032 7385376 11078064 22156128