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235196565040 = 2453792985531
BaseRepresentation
bin1101101100001011001…
…1101100011000110000
3211111002020211102222101
43123002303230120300
512323140310040130
6300014154350144
722664250550153
oct3330263543060
9744066742871
10235196565040
1190823369488
12396baa2b354
1319243196818
14b552757c9a
1561b83d11ca
hex36c2cec630

235196565040 has 80 divisors (see below), whose sum is σ = 562222363680. Its totient is φ = 91436359680.

The previous prime is 235196565017. The next prime is 235196565059. The reversal of 235196565040 is 40565691532.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2351965650402 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2707075 + ... + 2792605.

It is an arithmetic number, because the mean of its divisors is an integer number (7027779546).

Almost surely, 2235196565040 is an apocalyptic number.

235196565040 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 235196565040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281111181840).

235196565040 is an abundant number, since it is smaller than the sum of its proper divisors (327025798640).

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

235196565040 is a wasteful number, since it uses less digits than its factorization.

235196565040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86510 (or 86504 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 46.

The spelling of 235196565040 in words is "two hundred thirty-five billion, one hundred ninety-six million, five hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 929 1480 1858 2960 3716 4645 7432 9290 14864 18580 34373 37160 68746 74320 85531 137492 171062 171865 274984 342124 343730 427655 549968 684248 687460 855310 1368496 1374920 1710620 2749840 3164647 3421240 6329294 6842480 12658588 15823235 25317176 31646470 50634352 63292940 79458299 126585880 158916598 253171760 317833196 397291495 635666392 794582990 1271332784 1589165980 2939957063 3178331960 5879914126 6356663920 11759828252 14699785315 23519656504 29399570630 47039313008 58799141260 117598282520 235196565040