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2044202100 = 223528577951
BaseRepresentation
bin111100111011000…
…0000110001110100
312021110112020002220
41321312000301310
513141303431400
6534502202340
7101441300613
oct17166006164
95243466086
102044202100
11959998326
124907233b0
13267682755
141556c387a
15be6e47a0
hex79d80c74

2044202100 has 72 divisors (see below), whose sum is σ = 5922204288. Its totient is φ = 544416000.

The previous prime is 2044202089. The next prime is 2044202101. The reversal of 2044202100 is 12024402.

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 2044202100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2044202101) 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, 253125 + ... + 261075.

Almost surely, 22044202100 is an apocalyptic number.

2044202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2044202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961102144).

2044202100 is an abundant number, since it is smaller than the sum of its proper divisors (3878002188).

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

2044202100 is a wasteful number, since it uses less digits than its factorization.

2044202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8825 (or 8818 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2044202100 is about 45212.8532609921. The cubic root of 2044202100 is about 1269.1353570716.

Adding to 2044202100 its reverse (12024402), we get a palindrome (2056226502).

The spelling of 2044202100 in words is "two billion, forty-four million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 857 1714 2571 3428 4285 5142 7951 8570 10284 12855 15902 17140 21425 23853 25710 31804 39755 42850 47706 51420 64275 79510 85700 95412 119265 128550 159020 198775 238530 257100 397550 477060 596325 795100 1192650 2385300 6814007 13628014 20442021 27256028 34070035 40884042 68140070 81768084 102210105 136280140 170350175 204420210 340700350 408840420 511050525 681400700 1022101050 2044202100