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20220900 = 2235279629
BaseRepresentation
bin100110100100…
…0101111100100
31102001022212020
41031020233210
520134032100
62001223140
7333606030
oct115105744
942038766
1020220900
1110461297
126931ab0
13425cb3b
1429851c0
151b965a0
hex1348be4

20220900 has 72 divisors (see below), whose sum is σ = 66870720. Its totient is φ = 4621440.

The previous prime is 20220877. The next prime is 20220901. The reversal of 20220900 is 902202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20220900.

It is not an unprimeable number, because it can be changed into a prime (20220901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2715 + ... + 6914.

It is an arithmetic number, because the mean of its divisors is an integer number (928760).

Almost surely, 220220900 is an apocalyptic number.

20220900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20220900 is an abundant number, since it is smaller than the sum of its proper divisors (46649820).

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

20220900 is a wasteful number, since it uses less digits than its factorization.

20220900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9653 (or 9646 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 20220900 is about 4496.7655042263. The cubic root of 20220900 is about 272.4374628537.

The spelling of 20220900 in words is "twenty million, two hundred twenty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 9629 19258 28887 38516 48145 57774 67403 96290 115548 134806 144435 192580 202209 240725 269612 288870 337015 404418 481450 577740 674030 722175 808836 962900 1011045 1348060 1444350 1685075 2022090 2888700 3370150 4044180 5055225 6740300 10110450 20220900