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2231306611400 = 235254037206461
BaseRepresentation
bin100000011110000100001…
…111001110101011001000
321220022101121001011201102
4200132010033032223020
5243024203443031100
64425014220240532
7320130600155426
oct40360417165310
97808347034642
102231306611400
11790323459549
123005380a0148
13132546859979
1479dd273c116
153d094b24cd5
hex207843ceac8

2231306611400 has 48 divisors (see below), whose sum is σ = 5187909003540. Its totient is φ = 892501804800.

The previous prime is 2231306611333. The next prime is 2231306611421. The reversal of 2231306611400 is 41166031322.

It can be written as a sum of positive squares in 6 ways, for example, as 1251163050916 + 980143560484 = 1118554^2 + 990022^2 .

It is a super-3 number, since 3×22313066114003 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10704170 + ... + 10910630.

Almost surely, 22231306611400 is an apocalyptic number.

2231306611400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231306611400 is an abundant number, since it is smaller than the sum of its proper divisors (2956602392140).

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

2231306611400 is a wasteful number, since it uses less digits than its factorization.

2231306611400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260514 (or 260505 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 2231306611400 in words is "two trillion, two hundred thirty-one billion, three hundred six million, six hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 54037 108074 206461 216148 270185 412922 432296 540370 825844 1032305 1080740 1350925 1651688 2064610 2161480 2701850 4129220 5161525 5403700 8258440 10323050 10807400 20646100 41292200 11156533057 22313066114 44626132228 55782665285 89252264456 111565330570 223130661140 278913326425 446261322280 557826652850 1115653305700 2231306611400