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2242515352112 = 247227251351413
BaseRepresentation
bin100000101000100000010…
…101001011101000110000
321221101022202021012101022
4200220200111023220300
5243220132412231422
64434110342355012
7321005422661660
oct40504025135060
97841282235338
102242515352112
117950554aa322
12302745a2ba68
13133611aabc19
147a7772281a0
153d4edb98342
hex20a2054ba30

2242515352112 has 80 divisors (see below), whose sum is σ = 5007329010432. Its totient is φ = 953029344000.

The previous prime is 2242515352069. The next prime is 2242515352127. The reversal of 2242515352112 is 2112535152422.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6205718 + ... + 6557130.

Almost surely, 22242515352112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242515352112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503664505216).

2242515352112 is an abundant number, since it is smaller than the sum of its proper divisors (2764813658320).

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

2242515352112 is a wasteful number, since it uses less digits than its factorization.

2242515352112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351906 (or 351900 counting only the distinct ones).

The product of its digits is 48000, while the sum is 35.

The spelling of 2242515352112 in words is "two trillion, two hundred forty-two billion, five hundred fifteen million, three hundred fifty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 112 227 251 454 502 908 1004 1589 1757 1816 2008 3178 3514 3632 4016 6356 7028 12712 14056 25424 28112 56977 113954 227908 351413 398839 455816 702826 797678 911632 1405652 1595356 2459891 2811304 3190712 4919782 5622608 6381424 9839564 19679128 39358256 79770751 88204663 159541502 176409326 319083004 352818652 558395257 617432641 638166008 705637304 1116790514 1234865282 1276332016 1411274608 2233581028 2469730564 4467162056 4939461128 8934324112 9878922256 20022458501 40044917002 80089834004 140157209507 160179668008 280314419014 320359336016 560628838028 1121257676056 2242515352112