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2272977500274 = 2331361121343759
BaseRepresentation
bin100001000100111000000…
…001000011100001110010
322001021221201011122212000
4201010320001003201302
5244220024220002044
64500105204114430
7323134333654365
oct41047001034162
98037851148760
102272977500274
117a6a675a7088
12308627695a16
13136457b35270
147c026bb40dc
153e1d315ed69
hex21138043872

2272977500274 has 128 divisors (see below), whose sum is σ = 5533462502400. Its totient is φ = 687329660160.

The previous prime is 2272977500273. The next prime is 2272977500279. The reversal of 2272977500274 is 4720057792722.

2272977500274 is a `hidden beast` number, since 2 + 27 + 2 + 97 + 7 + 500 + 27 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2272977500274.

It is not an unprimeable number, because it can be changed into a prime (2272977500273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51921207 + ... + 51964965.

It is an arithmetic number, because the mean of its divisors is an integer number (43230175800).

Almost surely, 22272977500274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2272977500274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766731251200).

2272977500274 is an abundant number, since it is smaller than the sum of its proper divisors (3260485002126).

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

2272977500274 is a wasteful number, since it uses less digits than its factorization.

2272977500274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45057 (or 45051 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 54.

The spelling of 2272977500274 in words is "two trillion, two hundred seventy-two billion, nine hundred seventy-seven million, five hundred thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 61 78 117 122 183 234 351 366 549 702 793 1098 1213 1586 1647 2379 2426 3294 3639 4758 7137 7278 10917 14274 15769 21411 21834 31538 32751 42822 43759 47307 65502 73993 87518 94614 131277 141921 147986 221979 262554 283842 393831 425763 443958 568867 665937 787662 851526 961909 1137734 1181493 1331874 1706601 1923818 1997811 2362986 2669299 2885727 3413202 3995622 5119803 5338598 5771454 8007897 8657181 10239606 15359409 16015794 17314362 24023691 25971543 30718818 34700887 48047382 51943086 53079667 69401774 72071073 104102661 106159334 144142146 159239001 208205322 312307983 318478002 477717003 624615966 690035671 936923949 955434006 1380071342 1433151009 1873847898 2070107013 2866302018 3237859687 4140214026 6210321039 6475719374 9713579061 12420642078 18630963117 19427158122 29140737183 37261926234 42092175931 58281474366 84184351862 87422211549 126276527793 174844423098 252553055586 378829583379 757659166758 1136488750137 2272977500274