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10222725400 = 2352431188689
BaseRepresentation
bin10011000010101001…
…00110100100011000
3222101102212020221021
421201110212210120
5131414004203100
64410220252224
7511220506066
oct114124464430
928342766837
1010222725400
114376509998
121b936a1074
13c6bba0554
146cd97d036
153ec705a1a
hex261526918

10222725400 has 48 divisors (see below), whose sum is σ = 24320597400. Its totient is φ = 3993991680.

The previous prime is 10222725391. The next prime is 10222725421. The reversal of 10222725400 is 452722201.

It is a super-2 number, since 2×102227254002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 585745 + ... + 602944.

Almost surely, 210222725400 is an apocalyptic number.

10222725400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222725400 is an abundant number, since it is smaller than the sum of its proper divisors (14097872000).

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

10222725400 is a wasteful number, since it uses less digits than its factorization.

10222725400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188748 (or 1188739 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The spelling of 10222725400 in words is "ten billion, two hundred twenty-two million, seven hundred twenty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 4300 8600 1188689 2377378 4754756 5943445 9509512 11886890 23773780 29717225 47547560 51113627 59434450 102227254 118868900 204454508 237737800 255568135 408909016 511136270 1022272540 1277840675 2044545080 2555681350 5111362700 10222725400