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22155056 = 247311367
BaseRepresentation
bin101010010000…
…0111100110000
31112200121000122
41110200330300
521132430211
62110505412
7356213000
oct124407460
945617018
1022155056
1111562470
127505268
134789301
142d2a000
151e296db
hex1520f30

22155056 has 80 divisors (see below), whose sum is σ = 54758400. Its totient is φ = 8608320.

The previous prime is 22155011. The next prime is 22155059. The reversal of 22155056 is 65055122.

It is not an unprimeable number, because it can be changed into a prime (22155059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60185 + ... + 60551.

It is an arithmetic number, because the mean of its divisors is an integer number (684480).

Almost surely, 222155056 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 22155056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27379200).

22155056 is an abundant number, since it is smaller than the sum of its proper divisors (32603344).

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

22155056 is a wasteful number, since it uses less digits than its factorization.

22155056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 22155056 is about 4706.9157630024. The cubic root of 22155056 is about 280.8606849845.

The spelling of 22155056 in words is "twenty-two million, one hundred fifty-five thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 343 367 392 539 616 686 734 784 1078 1232 1372 1468 2156 2569 2744 2936 3773 4037 4312 5138 5488 5872 7546 8074 8624 10276 15092 16148 17983 20552 28259 30184 32296 35966 41104 56518 60368 64592 71932 113036 125881 143864 197813 226072 251762 287728 395626 452144 503524 791252 1007048 1384691 1582504 2014096 2769382 3165008 5538764 11077528 22155056