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10269224 = 2372172367
BaseRepresentation
bin100111001011…
…001000101000
3201022201201122
4213023020220
510112103344
61004034412
7153200300
oct47131050
921281648
1010269224
115884469
123532a08
132187284
141514600
15d7caee
hex9cb228

10269224 has 96 divisors (see below), whose sum is σ = 25116480. Its totient is φ = 3902976.

The previous prime is 10269223. The next prime is 10269257. The reversal of 10269224 is 42296201.

It is a junction number, because it is equal to n+sod(n) for n = 10269193 and 10269202.

It is not an unprimeable number, because it can be changed into a prime (10269223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153239 + ... + 153305.

It is an arithmetic number, because the mean of its divisors is an integer number (261630).

Almost surely, 210269224 is an apocalyptic number.

10269224 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 10269224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12558240).

10269224 is an abundant number, since it is smaller than the sum of its proper divisors (14847256).

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

10269224 is a wasteful number, since it uses less digits than its factorization.

10269224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 10269224 is about 3204.5629967283. The cubic root of 10269224 is about 217.3597916107.

The spelling of 10269224 in words is "ten million, two hundred sixty-nine thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 17 23 28 34 46 49 56 67 68 92 98 119 134 136 161 184 196 238 268 322 391 392 469 476 536 644 782 833 938 952 1127 1139 1288 1541 1564 1666 1876 2254 2278 2737 3082 3128 3283 3332 3752 4508 4556 5474 6164 6566 6664 7973 9016 9112 10787 10948 12328 13132 15946 19159 21574 21896 26197 26264 31892 38318 43148 52394 55811 63784 75509 76636 86296 104788 111622 151018 153272 183379 209576 223244 302036 366758 446488 604072 733516 1283653 1467032 2567306 5134612 10269224