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102241224 = 23333115269
BaseRepresentation
bin1100001100000…
…01001111001000
321010101101121000
412012001033020
5202133204344
614051215000
72351015241
oct606011710
9233341530
10102241224
1152792388
122a2a7460
1318249987
14d815cc8
158e98a69
hex61813c8

102241224 has 64 divisors (see below), whose sum is σ = 293184000. Its totient is φ = 32978880.

The previous prime is 102241169. The next prime is 102241231. The reversal of 102241224 is 422142201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102241197 and 102241206.

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, 939 + ... + 14330.

It is an arithmetic number, because the mean of its divisors is an integer number (4581000).

Almost surely, 2102241224 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 102241224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146592000).

102241224 is an abundant number, since it is smaller than the sum of its proper divisors (190942776).

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

102241224 is a wasteful number, since it uses less digits than its factorization.

102241224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15315 (or 15305 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 102241224 is about 10111.4402534950. The cubic root of 102241224 is about 467.6009089466.

Adding to 102241224 its reverse (422142201), we get a palindrome (524383425).

The spelling of 102241224 in words is "one hundred two million, two hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 6696 15269 30538 45807 61076 91614 122152 137421 183228 274842 366456 412263 473339 549684 824526 946678 1099368 1420017 1649052 1893356 2840034 3298104 3786712 4260051 5680068 8520102 11360136 12780153 17040204 25560306 34080408 51120612 102241224