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2240555004120 = 233523517941851
BaseRepresentation
bin100000100110101011011…
…111000011000011011000
321221012021010112012111010
4200212223133003003120
5243202124040112440
64433144033333520
7320606020205466
oct40465337030330
97835233465433
102240555004120
11794239985914
123022994072a0
1313338b908bb4
147a62cb31836
153d436a19580
hex209ab7c30d8

2240555004120 has 64 divisors (see below), whose sum is σ = 6724524925440. Its totient is φ = 597227120000.

The previous prime is 2240555004073. The next prime is 2240555004169. The reversal of 2240555004120 is 214005550422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3688806 + ... + 4253045.

It is an arithmetic number, because the mean of its divisors is an integer number (105070701960).

Almost surely, 22240555004120 is an apocalyptic number.

2240555004120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240555004120 is an abundant number, since it is smaller than the sum of its proper divisors (4483969921320).

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

2240555004120 is a wasteful number, since it uses less digits than its factorization.

2240555004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7944216 (or 7944212 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 2240555004120 in words is "two trillion, two hundred forty billion, five hundred fifty-five million, four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2351 4702 7053 9404 11755 14106 18808 23510 28212 35265 47020 56424 70530 94040 141060 282120 7941851 15883702 23825553 31767404 39709255 47651106 63534808 79418510 95302212 119127765 158837020 190604424 238255530 317674040 476511060 953022120 18671291701 37342583402 56013875103 74685166804 93356458505 112027750206 149370333608 186712917010 224055500412 280069375515 373425834020 448111000824 560138751030 746851668040 1120277502060 2240555004120