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2252045654400 = 27352234588089
BaseRepresentation
bin100000110001011000011…
…000011001100110000000
321222021220221012201101010
4200301120120121212000
5243344142141420100
64442324150040520
7321463535134563
oct40613030314600
97867827181333
102252045654400
117990a6074503
12304565649140
131344a0393a49
147addcc424da
153d8aa6c6750
hex20c58619980

2252045654400 has 96 divisors (see below), whose sum is σ = 7417675405800. Its totient is φ = 600545505280.

The previous prime is 2252045654347. The next prime is 2252045654401. The reversal of 2252045654400 is 44565402522.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252045654401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117284445 + ... + 117303644.

Almost surely, 22252045654400 is an apocalyptic number.

2252045654400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252045654400 is an abundant number, since it is smaller than the sum of its proper divisors (5165629751400).

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

2252045654400 is a wasteful number, since it uses less digits than its factorization.

2252045654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234588116 (or 234588099 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

The spelling of 2252045654400 in words is "two trillion, two hundred fifty-two billion, forty-five million, six hundred fifty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 234588089 469176178 703764267 938352356 1172940445 1407528534 1876704712 2345880890 2815057068 3518821335 3753409424 4691761780 5630114136 5864702225 7037642670 7506818848 9383523560 11260228272 11729404450 14075285340 15013637696 17594106675 18767047120 22520456544 23458808900 28150570680 30027275392 35188213350 37534094240 45040913088 46917617800 56301141360 70376426700 75068188480 90081826176 93835235600 112602282720 140752853400 150136376960 187670471200 225204565440 281505706800 375340942400 450409130880 563011413600 750681884800 1126022827200 2252045654400