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22900000 = 2555229
BaseRepresentation
bin101011101011…
…0110100100000
31121002102220011
41113112310200
521330300000
62134454304
7365434564
oct127266440
947072804
1022900000
1111a21122
127804394
13498a3c6
1430816a4
1520252ba
hex15d6d20

22900000 has 72 divisors (see below), whose sum is σ = 56597940. Its totient is φ = 9120000.

The previous prime is 22899983. The next prime is 22900013. The reversal of 22900000 is 922.

It can be written as a sum of positive squares in 6 ways, for example, as 204304 + 22695696 = 452^2 + 4764^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99886 + ... + 100114.

Almost surely, 222900000 is an apocalyptic number.

22900000 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 22900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28298970).

22900000 is an abundant number, since it is smaller than the sum of its proper divisors (33697940).

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

22900000 is an frugal number, since it uses more digits than its factorization.

22900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 22900000 is about 4785.3944456022. The cubic root of 22900000 is about 283.9739445778.

Adding to 22900000 its reverse (922), we get a palindrome (22900922).

The spelling of 22900000 in words is "twenty-two million, nine hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 229 250 400 458 500 625 800 916 1000 1145 1250 1832 2000 2290 2500 3125 3664 4000 4580 5000 5725 6250 7328 9160 10000 11450 12500 18320 20000 22900 25000 28625 36640 45800 50000 57250 91600 100000 114500 143125 183200 229000 286250 458000 572500 715625 916000 1145000 1431250 2290000 2862500 4580000 5725000 11450000 22900000