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642802230 = 23457731553
BaseRepresentation
bin100110010100000…
…110001000110110
31122210112201220000
4212110012020312
52304024132410
6143441252130
721633504660
oct4624061066
91583481800
10642802230
112aa932914
1215b334046
13a3233a65
1461529530
153b674dc0
hex26506236

642802230 has 160 divisors (see below), whose sum is σ = 2003690304. Its totient is φ = 144820224.

The previous prime is 642802217. The next prime is 642802253. The reversal of 642802230 is 32208246.

642802230 is a `hidden beast` number, since 6 + 428 + 0 + 2 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 642802194 and 642802203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 413134 + ... + 414686.

Almost surely, 2642802230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642802230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001845152).

642802230 is an abundant number, since it is smaller than the sum of its proper divisors (1360888074).

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

642802230 is a wasteful number, since it uses less digits than its factorization.

642802230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 642802230 is about 25353.5447225827. The cubic root of 642802230 is about 863.0297992626.

The spelling of 642802230 in words is "six hundred forty-two million, eight hundred two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 73 81 90 105 126 135 146 162 189 210 219 270 315 365 378 405 438 511 567 630 657 730 810 945 1022 1095 1134 1314 1533 1553 1890 1971 2190 2555 2835 3066 3106 3285 3942 4599 4659 5110 5670 5913 6570 7665 7765 9198 9318 9855 10871 11826 13797 13977 15330 15530 19710 21742 22995 23295 27594 27954 29565 32613 41391 41931 45990 46590 54355 59130 65226 68985 69885 82782 83862 97839 108710 113369 125793 137970 139770 163065 195678 206955 209655 226738 251586 293517 326130 340107 413910 419310 489195 566845 587034 628965 680214 793583 880551 978390 1020321 1133690 1257930 1467585 1587166 1700535 1761102 2040642 2380749 2935170 3060963 3401070 3967915 4402755 4761498 5101605 6121926 7142247 7935830 8805510 9182889 10203210 11903745 14284494 15304815 18365778 21426741 23807490 30609630 35711235 42853482 45914445 64280223 71422470 91828890 107133705 128560446 214267410 321401115 642802230