Search a number
-
+
22689610600 = 2352113448053
BaseRepresentation
bin10101001000011001…
…111111101101101000
32011120021111122101011
4111020121333231220
5332432020014400
614231245033304
71432161336136
oct251031775550
964507448334
1022689610600
11969376a2a8
124492855834
1321a79944b7
1411535b2756
158cbe4c8ba
hex54867fb68

22689610600 has 24 divisors (see below), whose sum is σ = 52753345110. Its totient is φ = 9075844160.

The previous prime is 22689610597. The next prime is 22689610621. The reversal of 22689610600 is 601698622.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 20410693956 + 2278916644 = 142866^2 + 47738^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56723827 + ... + 56724226.

Almost surely, 222689610600 is an apocalyptic number.

22689610600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22689610600 is an abundant number, since it is smaller than the sum of its proper divisors (30063734510).

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

22689610600 is a wasteful number, since it uses less digits than its factorization.

22689610600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113448069 (or 113448060 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 22689610600 in words is "twenty-two billion, six hundred eighty-nine million, six hundred ten thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 113448053 226896106 453792212 567240265 907584424 1134480530 2268961060 2836201325 4537922120 5672402650 11344805300 22689610600