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22344980 = 225721512
BaseRepresentation
bin101010100111…
…1010100010100
31120001020112212
41111033110110
521210014410
62114532552
7360633500
oct125172424
946036485
1022344980
1111682129
127597158
1348248a8
142d79300
151e65b05
hex154f514

22344980 has 54 divisors (see below), whose sum is σ = 54949482. Its totient is φ = 7610400.

The previous prime is 22344979. The next prime is 22344989. The reversal of 22344980 is 8944322.

It can be written as a sum of positive squares in only one way, i.e., 17875984 + 4468996 = 4228^2 + 2114^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22344989) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 147905 + ... + 148055.

It is an arithmetic number, because the mean of its divisors is an integer number (1017583).

Almost surely, 222344980 is an apocalyptic number.

22344980 is a gapful number since it is divisible by the number (20) 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 22344980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27474741).

22344980 is an abundant number, since it is smaller than the sum of its proper divisors (32604502).

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

22344980 is a wasteful number, since it uses less digits than its factorization.

22344980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 22344980 is about 4727.0477044346. The cubic root of 22344980 is about 281.6609610241.

The spelling of 22344980 in words is "twenty-two million, three hundred forty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 151 196 245 302 490 604 755 980 1057 1510 2114 3020 4228 5285 7399 10570 14798 21140 22801 29596 36995 45602 73990 91204 114005 147980 159607 228010 319214 456020 638428 798035 1117249 1596070 2234498 3192140 4468996 5586245 11172490 22344980