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231394597020 = 22355116340939
BaseRepresentation
bin1101011110000000110…
…0010101100010011100
3211010021021202110100000
43113200030111202130
512242344004101040
6254145021134300
722501113423246
oct3274014254234
9733237673300
10231394597020
118a152243654
1238a196ba390
1318a885c06c2
14b2b1833096
156044727130
hex35e031589c

231394597020 has 144 divisors (see below), whose sum is σ = 728536798080. Its totient is φ = 61650662976.

The previous prime is 231394596997. The next prime is 231394597037. The reversal of 231394597020 is 20795493132.

231394597020 is a `hidden beast` number, since 2 + 3 + 1 + 39 + 4 + 597 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5631711 + ... + 5672649.

It is an arithmetic number, because the mean of its divisors is an integer number (5059283320).

Almost surely, 2231394597020 is an apocalyptic number.

231394597020 is a gapful number since it is divisible by the number (20) 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 231394597020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364268399040).

231394597020 is an abundant number, since it is smaller than the sum of its proper divisors (497142201060).

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

231394597020 is a wasteful number, since it uses less digits than its factorization.

231394597020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42126 (or 42112 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 231394597020 in words is "two hundred thirty-one billion, three hundred ninety-four million, five hundred ninety-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1163 1215 1620 2326 2430 3489 4652 4860 5815 6978 10467 11630 13956 17445 20934 23260 31401 34890 40939 41868 52335 62802 69780 81878 94203 104670 122817 125604 157005 163756 188406 204695 209340 245634 282609 314010 368451 376812 409390 471015 491268 565218 614085 628020 736902 818780 942030 1105353 1130436 1228170 1413045 1473804 1842255 1884060 2210706 2456340 2826090 3316059 3684510 4421412 5526765 5652180 6632118 7369020 9948177 11053530 13264236 16580295 19896354 22107060 33160590 39792708 47612057 49740885 66321180 95224114 99481770 142836171 190448228 198963540 238060285 285672342 428508513 476120570 571344684 714180855 857017026 952241140 1285525539 1428361710 1714034052 2142542565 2571051078 2856723420 3856576617 4285085130 5142102156 6427627695 7713153234 8570170260 11569729851 12855255390 15426306468 19282883085 23139459702 25710510780 38565766170 46278919404 57848649255 77131532340 115697298510 231394597020