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10192248 = 23321117757
BaseRepresentation
bin100110111000…
…010101111000
3201011211010200
4212320111320
510102122443
61002242200
7152430003
oct46702570
921154120
1010192248
115831650
1234b6360
13215b221
1414d453a
15d64dd3
hex9b8578

10192248 has 96 divisors (see below), whose sum is σ = 31926960. Its totient is φ = 2903040.

The previous prime is 10192229. The next prime is 10192267. The reversal of 10192248 is 84229101.

10192248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10192229) and next prime (10192267).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13086 + ... + 13842.

It is a vampire number, since it can be written as 11229084 (with its own digits).

Almost surely, 210192248 is an apocalyptic number.

10192248 is a gapful number since it is divisible by the number (18) 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 10192248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15963480).

10192248 is an abundant number, since it is smaller than the sum of its proper divisors (21734712).

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

10192248 is a wasteful number, since it uses less digits than its factorization.

10192248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10192248 is about 3192.5300311822. The cubic root of 10192248 is about 216.8153341278.

It can be divided in two parts, 10192 and 248, that added together give a triangular number (10440 = T144).

The spelling of 10192248 in words is "ten million, one hundred ninety-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 306 374 396 408 561 612 748 757 792 1122 1224 1496 1514 1683 2244 2271 3028 3366 4488 4542 6056 6732 6813 8327 9084 12869 13464 13626 16654 18168 24981 25738 27252 33308 38607 49962 51476 54504 66616 74943 77214 99924 102952 115821 141559 149886 154428 199848 231642 283118 299772 308856 424677 463284 566236 599544 849354 926568 1132472 1274031 1698708 2548062 3397416 5096124 10192248