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25002500224 = 2713109137849
BaseRepresentation
bin10111010010010000…
…111110000010000000
32101112110121121110211
4113102100332002000
5402201120001344
615252550203504
71543404513442
oct272220760200
971473547424
1025002500224
11a670294529
124a19353594
132485c00540
1412d2838492
159b5018334
hex5d243e080

25002500224 has 64 divisors (see below), whose sum is σ = 54133695000. Its totient is φ = 11433664512.

The previous prime is 25002500209. The next prime is 25002500251. The reversal of 25002500224 is 42200520052.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23116161600 + 1886338624 = 152040^2 + 43432^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×250025002242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25002500195 and 25002500204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112452 + ... + 250300.

Almost surely, 225002500224 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 25002500224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27066847500).

25002500224 is an abundant number, since it is smaller than the sum of its proper divisors (29131194776).

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

25002500224 is a wasteful number, since it uses less digits than its factorization.

25002500224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137985 (or 137973 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

It can be divided in two parts, 2500 and 2500224, that added together give a square (2502724 = 15822).

The spelling of 25002500224 in words is "twenty-five billion, two million, five hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 109 128 208 218 416 436 832 872 1417 1664 1744 2834 3488 5668 6976 11336 13952 22672 45344 90688 137849 181376 275698 551396 1102792 1792037 2205584 3584074 4411168 7168148 8822336 14336296 15025541 17644672 28672592 30051082 57345184 60102164 114690368 120204328 195332033 229380736 240408656 390664066 480817312 781328132 961634624 1562656264 1923269248 3125312528 6250625056 12501250112 25002500224