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22980256 = 2513371493
BaseRepresentation
bin101011110101…
…0011010100000
31121020111222121
41113222122200
521340332011
62140314024
7366220555
oct127523240
947214877
1022980256
1111a76452
127842914
1349b7ab0
1430a2a2c
15203de71
hex15ea6a0

22980256 has 48 divisors (see below), whose sum is σ = 50072904. Its totient is φ = 10312704.

The previous prime is 22980241. The next prime is 22980257. The reversal of 22980256 is 65208922.

It can be written as a sum of positive squares in 4 ways, for example, as 22467600 + 512656 = 4740^2 + 716^2 .

It is not an unprimeable number, because it can be changed into a prime (22980257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14646 + ... + 16138.

Almost surely, 222980256 is an apocalyptic number.

22980256 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 22980256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25036452).

22980256 is an abundant number, since it is smaller than the sum of its proper divisors (27092648).

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

22980256 is a wasteful number, since it uses less digits than its factorization.

22980256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 22980256 is about 4793.7726270652. The cubic root of 22980256 is about 284.3052988777.

The spelling of 22980256 in words is "twenty-two million, nine hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 416 481 592 962 1184 1493 1924 2986 3848 5972 7696 11944 15392 19409 23888 38818 47776 55241 77636 110482 155272 220964 310544 441928 621088 718133 883856 1436266 1767712 2872532 5745064 11490128 22980256