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2250245324400 = 243523750681201
BaseRepresentation
bin100000101111101101000…
…100101011111001110000
321222010021110120110220020
4200233231010223321300
5243332000300340100
64441425354443440
7321401114444223
oct40575504537160
97863243513806
102250245324400
11798361904977
12304142733580
131342743b9718
147acabac15ba
153d8026055a0
hex20bed12be70

2250245324400 has 120 divisors (see below), whose sum is σ = 7403104538544. Its totient is φ = 583847424000.

The previous prime is 2250245324339. The next prime is 2250245324401. The reversal of 2250245324400 is 44235420522.

2250245324400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×22502453244002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250245324401) 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, 25296201 + ... + 25385000.

Almost surely, 22250245324400 is an apocalyptic number.

2250245324400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2250245324400 is an abundant number, since it is smaller than the sum of its proper divisors (5152859214144).

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

2250245324400 is a wasteful number, since it uses less digits than its factorization.

2250245324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50681259 (or 50681248 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 33.

The spelling of 2250245324400 in words is "two trillion, two hundred fifty billion, two hundred forty-five million, three hundred twenty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 148 150 185 200 222 240 296 300 370 400 444 555 592 600 740 888 925 1110 1200 1480 1776 1850 2220 2775 2960 3700 4440 5550 7400 8880 11100 14800 22200 44400 50681201 101362402 152043603 202724804 253406005 304087206 405449608 506812010 608174412 760218015 810899216 1013624020 1216348824 1267030025 1520436030 1875204437 2027248040 2432697648 2534060050 3040872060 3750408874 3801090075 4054496080 5068120100 5625613311 6081744120 7500817748 7602180150 9376022185 10136240200 11251226622 12163488240 15001635496 15204360300 18752044370 20272480400 22502453244 28128066555 30003270992 30408720600 37504088740 45004906488 46880110925 56256133110 60817441200 75008177480 90009812976 93760221850 112512266220 140640332775 150016354960 187520443700 225024532440 281280665550 375040887400 450049064880 562561331100 750081774800 1125122662200 2250245324400