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422474130 = 23451353757
BaseRepresentation
bin11001001011100…
…111000110010010
31002102221220120000
4121023213012102
51331123133010
6105531030430
713316654001
oct3113470622
91072856500
10422474130
111a7526081
12b959b416
13696acbc0
1440174c38
15271527c0
hex192e7192

422474130 has 160 divisors (see below), whose sum is σ = 1248098544. Its totient is φ = 101896704.

The previous prime is 422474119. The next prime is 422474137. The reversal of 422474130 is 31474224.

422474130 is a `hidden beast` number, since 4 + 2 + 247 + 413 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 172423161 + 250050969 = 13131^2 + 15813^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 422474094 and 422474103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422474137) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 557712 + ... + 558468.

Almost surely, 2422474130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422474130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624049272).

422474130 is an abundant number, since it is smaller than the sum of its proper divisors (825624414).

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

422474130 is a wasteful number, since it uses less digits than its factorization.

422474130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 422474130 is about 20554.1754882068. The cubic root of 422474130 is about 750.3548720613.

It can be divided in two parts, 422 and 474130, that added together give a cube (474552 = 783).

The spelling of 422474130 in words is "four hundred twenty-two million, four hundred seventy-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 53 54 65 78 81 90 106 117 130 135 159 162 195 234 265 270 318 351 390 405 477 530 585 689 702 757 795 810 954 1053 1170 1378 1431 1514 1590 1755 2067 2106 2271 2385 2862 3445 3510 3785 4134 4293 4542 4770 5265 6201 6813 6890 7155 7570 8586 9841 10335 10530 11355 12402 13626 14310 18603 19682 20439 20670 21465 22710 29523 31005 34065 37206 40121 40878 42930 49205 55809 59046 61317 62010 68130 80242 88569 93015 98410 102195 111618 120363 122634 147615 177138 186030 200605 204390 240726 265707 279045 295230 306585 361089 401210 442845 521573 531414 558090 601815 613170 722178 797121 885690 1043146 1083267 1203630 1328535 1564719 1594242 1805445 2166534 2607865 2657070 3129438 3249801 3610890 3985605 4694157 5215730 5416335 6499602 7823595 7971210 9388314 10832670 14082471 15647190 16249005 23470785 28164942 32498010 42247413 46941570 70412355 84494826 140824710 211237065 422474130