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102230520 = 23357177159
BaseRepresentation
bin1100001011111…
…10100111111000
321010100211220120
412011332213320
5202132334040
614051053240
72350642110
oct605764770
9233324816
10102230520
1152785337
122a2a1220
1318244b42
14d812040
158e957d0
hex617e9f8

102230520 has 128 divisors (see below), whose sum is σ = 371174400. Its totient is φ = 21989376.

The previous prime is 102230509. The next prime is 102230521. The reversal of 102230520 is 25032201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102230520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102230521) 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, 10701 + ... + 17859.

It is an arithmetic number, because the mean of its divisors is an integer number (2899800).

Almost surely, 2102230520 is an apocalyptic number.

102230520 is a gapful number since it is divisible by the number (10) 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 102230520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185587200).

102230520 is an abundant number, since it is smaller than the sum of its proper divisors (268943880).

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

102230520 is a wasteful number, since it uses less digits than its factorization.

102230520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7197 (or 7193 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 102230520 is about 10110.9109381895. The cubic root of 102230520 is about 467.5845901056.

Adding to 102230520 its reverse (25032201), we get a palindrome (127262721).

The spelling of 102230520 in words is "one hundred two million, two hundred thirty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2856 3570 4760 7140 7159 14280 14318 21477 28636 35795 42954 50113 57272 71590 85908 100226 107385 121703 143180 150339 171816 200452 214770 243406 250565 286360 300678 365109 400904 429540 486812 501130 601356 608515 730218 751695 851921 859080 973624 1002260 1202712 1217030 1460436 1503390 1703842 1825545 2004520 2434060 2555763 2920872 3006780 3407684 3651090 4259605 4868120 5111526 6013560 6815368 7302180 8519210 10223052 12778815 14604360 17038420 20446104 25557630 34076840 51115260 102230520