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2252540052500 = 22545091770169
BaseRepresentation
bin100000110001110101110…
…110011000010000010100
321222100012101111202001212
4200301311312120100110
5243401200223140000
64442445210440552
7321512020350503
oct40616566302024
97870171452055
102252540052500
1179932a155081
12304683133158
1313454b9370ba
147b04877a83a
153d8d8cd4c35
hex20c75d98414

2252540052500 has 60 divisors (see below), whose sum is σ = 4935534888900. Its totient is φ = 899245344000.

The previous prime is 2252540052479. The next prime is 2252540052547. The reversal of 2252540052500 is 52500452522.

It can be written as a sum of positive squares in 10 ways, for example, as 1122239372164 + 1130300680336 = 1059358^2 + 1063156^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 387416 + ... + 2157584.

It is an arithmetic number, because the mean of its divisors is an integer number (82258914815).

Almost surely, 22252540052500 is an apocalyptic number.

2252540052500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252540052500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467767444450).

2252540052500 is an abundant number, since it is smaller than the sum of its proper divisors (2682994836400).

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

2252540052500 is a wasteful number, since it uses less digits than its factorization.

2252540052500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770702 (or 1770685 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 32.

The spelling of 2252540052500 in words is "two trillion, two hundred fifty-two billion, five hundred forty million, fifty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 509 625 1018 1250 2036 2500 2545 5090 10180 12725 25450 50900 63625 127250 254500 318125 636250 1272500 1770169 3540338 7080676 8850845 17701690 35403380 44254225 88508450 177016900 221271125 442542250 885084500 901016021 1106355625 1802032042 2212711250 3604064084 4425422500 4505080105 9010160210 18020320420 22525400525 45050801050 90101602100 112627002625 225254005250 450508010500 563135013125 1126270026250 2252540052500