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10222220200 = 235270972089
BaseRepresentation
bin10011000010100101…
…01011001110101000
3222101101220120221011
421201102223032220
5131413342021300
64410201353304
7511213303153
oct114122531650
928341816834
1010222220200
1143761a4375
121b93498834
13c6ba5460a
146cd88ac9a
153ec655eba
hex2614ab3a8

10222220200 has 48 divisors (see below), whose sum is σ = 23800513500. Its totient is φ = 4083064320.

The previous prime is 10222220167. The next prime is 10222220219. The reversal of 10222220200 is 202222201.

It can be written as a sum of positive squares in 6 ways, for example, as 3053888644 + 7168331556 = 55262^2 + 84666^2 .

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, 105756 + ... + 177844.

Almost surely, 210222220200 is an apocalyptic number.

10222220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222220200 is an abundant number, since it is smaller than the sum of its proper divisors (13578293300).

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

10222220200 is a wasteful number, since it uses less digits than its factorization.

10222220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72814 (or 72805 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 10222220200 its reverse (202222201), we get a palindrome (10424442401).

It can be divided in two parts, 1022 and 2220200, that added together give a palindrome (2221222).

The spelling of 10222220200 in words is "ten billion, two hundred twenty-two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 709 1418 2836 3545 5672 7090 14180 17725 28360 35450 70900 72089 141800 144178 288356 360445 576712 720890 1441780 1802225 2883560 3604450 7208900 14417800 51111101 102222202 204444404 255555505 408888808 511111010 1022222020 1277777525 2044444040 2555555050 5111110100 10222220200