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104225352 = 23373111151
BaseRepresentation
bin1100011011001…
…01101001001000
321021010012022020
412031211221020
5203140202402
614201524440
72403621000
oct615455110
9237105266
10104225352
1153918060
122aaa3720
1318792b0a
14dbb1000
15923b8bc
hex6365a48

104225352 has 128 divisors (see below), whose sum is σ = 331776000. Its totient is φ = 27048000.

The previous prime is 104225347. The next prime is 104225357. The reversal of 104225352 is 253522401.

It is an interprime number because it is at equal distance from previous prime (104225347) and next prime (104225357).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (104225357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89977 + ... + 91127.

It is an arithmetic number, because the mean of its divisors is an integer number (2592000).

Almost surely, 2104225352 is an apocalyptic number.

104225352 is a gapful number since it is divisible by the number (12) 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 104225352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165888000).

104225352 is an abundant number, since it is smaller than the sum of its proper divisors (227550648).

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

104225352 is a wasteful number, since it uses less digits than its factorization.

104225352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 104225352 is about 10209.0818392253. The cubic root of 104225352 is about 470.6063578732.

Adding to 104225352 its reverse (253522401), we get a palindrome (357747753).

It can be divided in two parts, 104 and 225352, that added together give a triangular number (225456 = T671).

The spelling of 104225352 in words is "one hundred four million, two hundred twenty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 343 392 462 539 588 616 686 924 1029 1078 1151 1176 1372 1617 1848 2058 2156 2302 2744 3234 3453 3773 4116 4312 4604 6468 6906 7546 8057 8232 9208 11319 12661 12936 13812 15092 16114 22638 24171 25322 27624 30184 32228 37983 45276 48342 50644 56399 64456 75966 88627 90552 96684 101288 112798 151932 169197 177254 193368 225596 265881 303864 338394 354508 394793 451192 531762 620389 676788 709016 789586 1063524 1184379 1240778 1353576 1579172 1861167 2127048 2368758 2481556 3158344 3722334 4342723 4737516 4963112 7444668 8685446 9475032 13028169 14889336 17370892 26056338 34741784 52112676 104225352