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2031330400 = 255211230833
BaseRepresentation
bin111100100010011…
…1010010001100000
312020120022021110021
41321010322101200
513130010033100
6533322243224
7101224011031
oct17104722140
95216267407
102031330400
119526a6660
12488356514
13264ac6a68
14153ad2a88
15bd500a1a
hex7913a460

2031330400 has 72 divisors (see below), whose sum is σ = 5409825624. Its totient is φ = 738662400.

The previous prime is 2031330383. The next prime is 2031330401. The reversal of 2031330400 is 40331302.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031330401) by changing a digit.

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, 106617 + ... + 124216.

It is an arithmetic number, because the mean of its divisors is an integer number (75136467).

Almost surely, 22031330400 is an apocalyptic number.

2031330400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2031330400 is an abundant number, since it is smaller than the sum of its proper divisors (3378495224).

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

2031330400 is a wasteful number, since it uses less digits than its factorization.

2031330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230864 (or 230851 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2031330400 is about 45070.2828923893. The cubic root of 2031330400 is about 1266.4659638914.

Adding to 2031330400 its reverse (40331302), we get a palindrome (2071661702).

The spelling of 2031330400 in words is "two billion, thirty-one million, three hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 230833 461666 923332 1154165 1846664 2308330 2539163 3693328 4616660 5078326 5770825 7386656 9233320 10156652 11541650 12695815 18466640 20313304 23083300 25391630 36933280 40626608 46166600 50783260 63479075 81253216 92333200 101566520 126958150 184666400 203133040 253916300 406266080 507832600 1015665200 2031330400