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22313000 = 235353421
BaseRepresentation
bin101010100011…
…1100000101000
31112222121200102
41111013200220
521203004000
62114124532
7360441323
oct125074050
945877612
1022313000
11116600a6
127580748
134813178
142d6b7ba
151e5b3d5
hex1547828

22313000 has 64 divisors (see below), whose sum is σ = 53323920. Its totient is φ = 8736000.

The previous prime is 22312999. The next prime is 22313003. The reversal of 22313000 is 31322.

It can be written as a sum of positive squares in 8 ways, for example, as 91204 + 22221796 = 302^2 + 4714^2 .

It is a super-3 number, since 3×223130003 (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22313003) 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, 52790 + ... + 53210.

Almost surely, 222313000 is an apocalyptic number.

22313000 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 22313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26661960).

22313000 is an abundant number, since it is smaller than the sum of its proper divisors (31010920).

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

22313000 is a wasteful number, since it uses less digits than its factorization.

22313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 22313000 is about 4723.6638322387. The cubic root of 22313000 is about 281.5265263827.

Adding to 22313000 its reverse (31322), we get a palindrome (22344322).

The spelling of 22313000 in words is "twenty-two million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 421 424 500 530 842 1000 1060 1325 1684 2105 2120 2650 3368 4210 5300 6625 8420 10525 10600 13250 16840 21050 22313 26500 42100 44626 52625 53000 84200 89252 105250 111565 178504 210500 223130 421000 446260 557825 892520 1115650 2231300 2789125 4462600 5578250 11156500 22313000