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2151070900 = 2252119372087
BaseRepresentation
bin1000000000110110…
…1011110010110100
312112220121201112121
42000031223302310
513401133232100
6553240525324
7104206541506
oct20015536264
95486551477
102151070900
11a04250450
12500480844
1328385c824
14165981d76
15c8ca451a
hex8036bcb4

2151070900 has 72 divisors (see below), whose sum is σ = 5100048576. Its totient is φ = 780998400.

The previous prime is 2151070897. The next prime is 2151070931. The reversal of 2151070900 is 90701512.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1029657 + ... + 1031743.

It is an arithmetic number, because the mean of its divisors is an integer number (70834008).

Almost surely, 22151070900 is an apocalyptic number.

2151070900 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 2151070900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550024288).

2151070900 is an abundant number, since it is smaller than the sum of its proper divisors (2948977676).

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

2151070900 is a wasteful number, since it uses less digits than its factorization.

2151070900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3049 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 2151070900 is about 46379.6388515478. The cubic root of 2151070900 is about 1290.8771351638.

The spelling of 2151070900 in words is "two billion, one hundred fifty-one million, seventy thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 937 1100 1874 2087 3748 4174 4685 8348 9370 10307 10435 18740 20614 20870 22957 23425 41228 41740 45914 46850 51535 52175 91828 93700 103070 104350 114785 206140 208700 229570 257675 459140 515350 573925 1030700 1147850 1955519 2295700 3911038 7822076 9777595 19555190 21510709 39110380 43021418 48887975 86042836 97775950 107553545 195551900 215107090 430214180 537767725 1075535450 2151070900