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102234624 = 293101659
BaseRepresentation
bin1100001011111…
…11101000000000
321010101001112120
412011333220000
5202133001444
614051124240
72350660062
oct605775000
9233331476
10102234624
1152788428
122a2a3680
131824697b
14d813732
158e96b19
hex617fa00

102234624 has 80 divisors (see below), whose sum is σ = 275473440. Its totient is φ = 33689600.

The previous prime is 102234581. The next prime is 102234631. The reversal of 102234624 is 426432201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102234594 and 102234603.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154807 + ... + 155465.

It is an arithmetic number, because the mean of its divisors is an integer number (3443418).

Almost surely, 2102234624 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 102234624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137736720).

102234624 is an abundant number, since it is smaller than the sum of its proper divisors (173238816).

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

102234624 is an equidigital number, since it uses as much as digits as its factorization.

102234624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 102234624 is about 10111.1138852255. The cubic root of 102234624 is about 467.5908470156.

Adding to 102234624 its reverse (426432201), we get a palindrome (528666825).

The spelling of 102234624 in words is "one hundred two million, two hundred thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 256 303 384 404 512 606 659 768 808 1212 1318 1536 1616 1977 2424 2636 3232 3954 4848 5272 6464 7908 9696 10544 12928 15816 19392 21088 25856 31632 38784 42176 51712 63264 66559 77568 84352 126528 133118 155136 168704 199677 253056 266236 337408 399354 506112 532472 798708 1012224 1064944 1597416 2129888 3194832 4259776 6389664 8519552 12779328 17039104 25558656 34078208 51117312 102234624