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22993056 = 2532292753
BaseRepresentation
bin101011110110…
…1100010100000
31121021011112200
41113231202200
521341234211
62140453200
7366303102
oct127554240
947234480
1022993056
1111a85029
12784a200
1349c0878
1430a7572
152042b56
hex15ed8a0

22993056 has 72 divisors (see below), whose sum is σ = 67665780. Its totient is φ = 7397376.

The previous prime is 22993051. The next prime is 22993063. The reversal of 22993056 is 65039922.

It can be written as a sum of positive squares in 2 ways, for example, as 21344400 + 1648656 = 4620^2 + 1284^2 .

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

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 22993056.

It is not an unprimeable number, because it can be changed into a prime (22993051) 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, 6976 + ... + 9728.

Almost surely, 222993056 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 22993056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33832890).

22993056 is an abundant number, since it is smaller than the sum of its proper divisors (44672724).

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

22993056 is a wasteful number, since it uses less digits than its factorization.

22993056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 22993056 is about 4795.1075066155. The cubic root of 22993056 is about 284.3580750866.

The spelling of 22993056 in words is "twenty-two million, nine hundred ninety-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2753 2784 4176 5506 8259 8352 11012 16518 22024 24777 33036 44048 49554 66072 79837 88096 99108 132144 159674 198216 239511 264288 319348 396432 479022 638696 718533 792864 958044 1277392 1437066 1916088 2554784 2874132 3832176 5748264 7664352 11496528 22993056