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10225254424 = 2371134747837
BaseRepresentation
bin10011000010111100…
…10000000000011000
3222101121121202002211
421201132100000120
5131420131120144
64410350404504
7511251141250
oct114136200030
928347552084
1010225254424
114377986aa0
121b94500734
13c6c577708
146d003a960
153eca55034
hex261790018

10225254424 has 64 divisors (see below), whose sum is σ = 23972578560. Its totient is φ = 3972301440.

The previous prime is 10225254373. The next prime is 10225254433. The reversal of 10225254424 is 42445252201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189834 + ... + 237670.

It is an arithmetic number, because the mean of its divisors is an integer number (374571540).

Almost surely, 210225254424 is an apocalyptic number.

10225254424 is a gapful number since it is divisible by the number (14) 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 10225254424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11986289280).

10225254424 is an abundant number, since it is smaller than the sum of its proper divisors (13747324136).

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

10225254424 is a wasteful number, since it uses less digits than its factorization.

10225254424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48208 (or 48204 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 31.

The spelling of 10225254424 in words is "ten billion, two hundred twenty-five million, two hundred fifty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 347 616 694 1388 2429 2776 3817 4858 7634 9716 15268 19432 26719 30536 47837 53438 95674 106876 191348 213752 334859 382696 526207 669718 1052414 1339436 2104828 2678872 3683449 4209656 7366898 14733796 16599439 29467592 33198878 66397756 116196073 132795512 182593829 232392146 365187658 464784292 730375316 929568584 1278156803 1460750632 2556313606 5112627212 10225254424