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104116224 = 212337229
BaseRepresentation
bin1100011010010…
…11000000000000
321020220122121110
412031023000000
5203123204344
614155323320
72402654562
oct615130000
9236818543
10104116224
1153853073
122aa50540
1318755244
14db83332
1592193b9
hex634b000

104116224 has 104 divisors (see below), whose sum is σ = 286357360. Its totient is φ = 33619968.

The previous prime is 104116223. The next prime is 104116231. The reversal of 104116224 is 422611401.

It is a happy number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 104116224.

It is not an unprimeable number, because it can be changed into a prime (104116223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454542 + ... + 454770.

Almost surely, 2104116224 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 104116224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143178680).

104116224 is an abundant number, since it is smaller than the sum of its proper divisors (182241136).

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

104116224 is an equidigital number, since it uses as much as digits as its factorization.

104116224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 104116224 is about 10203.7357864657. The cubic root of 104116224 is about 470.4420527910.

Adding to 104116224 its reverse (422611401), we get a palindrome (526727625).

The spelling of 104116224 in words is "one hundred four million, one hundred sixteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 229 256 296 384 444 458 512 592 687 768 888 916 1024 1184 1374 1536 1776 1832 2048 2368 2748 3072 3552 3664 4096 4736 5496 6144 7104 7328 8473 9472 10992 12288 14208 14656 16946 18944 21984 25419 28416 29312 33892 37888 43968 50838 56832 58624 67784 75776 87936 101676 113664 117248 135568 151552 175872 203352 227328 234496 271136 351744 406704 454656 468992 542272 703488 813408 937984 1084544 1406976 1626816 2169088 2813952 3253632 4338176 6507264 8676352 13014528 17352704 26029056 34705408 52058112 104116224