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10225410512 = 2417318091499
BaseRepresentation
bin10011000010111101…
…10110000111010000
3222101121220200012212
421201132312013100
5131420201114022
64410354011252
7511252361312
oct114136660720
928347820185
1010225410512
114377a83299
121b94576b28
13c6c600785
146d007b7b2
153eca863e2
hex2617b61d0

10225410512 has 80 divisors (see below), whose sum is σ = 21695040000. Its totient is φ = 4647874560.

The previous prime is 10225410497. The next prime is 10225410523. The reversal of 10225410512 is 21501452201.

It is a congruent number.

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, 6820739 + ... + 6822237.

It is an arithmetic number, because the mean of its divisors is an integer number (271188000).

Almost surely, 210225410512 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 10225410512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10847520000).

10225410512 is an abundant number, since it is smaller than the sum of its proper divisors (11469629488).

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

10225410512 is a wasteful number, since it uses less digits than its factorization.

10225410512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

Adding to 10225410512 its reverse (21501452201), we get a palindrome (31726862713).

The spelling of 10225410512 in words is "ten billion, two hundred twenty-five million, four hundred ten thousand, five hundred twelve".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 527 809 1054 1499 1618 2108 2998 3236 4216 5996 6472 8432 11992 12944 13753 23984 25079 25483 27506 46469 50158 50966 55012 92938 100316 101932 110024 185876 200632 203864 220048 371752 401264 407728 426343 743504 789973 852686 1212691 1579946 1705372 2425382 3159892 3410744 4850764 6319784 6821488 9701528 12639568 19403056 20615747 37593421 41231494 75186842 82462988 150373684 164925976 300747368 329851952 601494736 639088157 1278176314 2556352628 5112705256 10225410512