Search a number
-
+
22569052900 = 22528321812
BaseRepresentation
bin10101000001001110…
…000110101011100100
32011020212122200022011
4111001032012223210
5332210134143100
614211301044004
71426165533022
oct250116065344
964225580264
1022569052900
119631707539
12445a3b6604
132188a03794
14114158d712
158c1586bba
hex541386ae4

22569052900 has 81 divisors (see below), whose sum is σ = 49847403963. Its totient is φ = 8869579200.

The previous prime is 22569052889. The next prime is 22569052907. The reversal of 22569052900 is 925096522.

The square root of 22569052900 is 150230.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12112763364 + 10456289536 = 110058^2 + 102256^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22569052907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 124690810 + ... + 124690990.

Almost surely, 222569052900 is an apocalyptic number.

22569052900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22569052900 is the 150230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22569052900

22569052900 is an abundant number, since it is smaller than the sum of its proper divisors (27278351063).

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

22569052900 is an equidigital number, since it uses as much as digits as its factorization.

22569052900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The spelling of 22569052900 in words is "twenty-two billion, five hundred sixty-nine million, fifty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 181 332 362 415 724 830 905 1660 1810 2075 3620 4150 4525 6889 8300 9050 13778 15023 18100 27556 30046 32761 34445 60092 65522 68890 75115 131044 137780 150230 163805 172225 300460 327610 344450 375575 655220 688900 751150 819025 1246909 1502300 1638050 2493818 2719163 3276100 4987636 5438326 6234545 10876652 12469090 13595815 24938180 27191630 31172725 54383260 62345450 67979075 124690900 135958150 225690529 271916300 451381058 902762116 1128452645 2256905290 4513810580 5642263225 11284526450 22569052900