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2242193915040 = 25354671237323
BaseRepresentation
bin100000101000001101001…
…010111111110010100000
321221100111100102111121120
4200220031022333302200
5243214003120240130
64434014421052240
7320664440546442
oct40501512776240
97840440374546
102242193915040
11794a00013952
12302676257080
13133590316881
147a746674492
153d4d0852910
hex20a0d2bfca0

2242193915040 has 48 divisors (see below), whose sum is σ = 7062910833888. Its totient is φ = 597918377216.

The previous prime is 2242193915029. The next prime is 2242193915119. The reversal of 2242193915040 is 405193912422.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2242193914983 and 2242193915001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2335618182 + ... + 2335619141.

It is an arithmetic number, because the mean of its divisors is an integer number (147143975706).

Almost surely, 22242193915040 is an apocalyptic number.

2242193915040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242193915040 is an abundant number, since it is smaller than the sum of its proper divisors (4820716918848).

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

2242193915040 is a wasteful number, since it uses less digits than its factorization.

2242193915040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4671237341 (or 4671237333 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 2242193915040 in words is "two trillion, two hundred forty-two billion, one hundred ninety-three million, nine hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4671237323 9342474646 14013711969 18684949292 23356186615 28027423938 37369898584 46712373230 56054847876 70068559845 74739797168 93424746460 112109695752 140137119690 149479594336 186849492920 224219391504 280274239380 373698985840 448438783008 560548478760 747397971680 1121096957520 2242193915040