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32235225240 = 233517113139837
BaseRepresentation
bin11110000001010111…
…101000000010011000
310002012112021002222010
4132001113220002120
51012004204201430
622450400425520
72220550615341
oct360127500230
9102175232863
1032235225240
1112741a42919
1262b76182a0
1330694aab9a
1417bb2550c8
15c89ea2cb0
hex7815e8098

32235225240 has 128 divisors (see below), whose sum is σ = 103301127360. Its totient is φ = 8018755584.

The previous prime is 32235225221. The next prime is 32235225293. The reversal of 32235225240 is 4252253223.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32235225198 and 32235225207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160602 + ... + 300438.

Almost surely, 232235225240 is an apocalyptic number.

32235225240 is a gapful number since it is divisible by the number (30) 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 32235225240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51650563680).

32235225240 is an abundant number, since it is smaller than the sum of its proper divisors (71065902120).

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

32235225240 is a wasteful number, since it uses less digits than its factorization.

32235225240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139981 (or 139977 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 32235225240 its reverse (4252253223), we get a palindrome (36487478463).

The spelling of 32235225240 in words is "thirty-two billion, two hundred thirty-five million, two hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 113 120 136 170 204 226 255 339 340 408 452 510 565 678 680 904 1020 1130 1356 1695 1921 2040 2260 2712 3390 3842 4520 5763 6780 7684 9605 11526 13560 15368 19210 23052 28815 38420 46104 57630 76840 115260 139837 230520 279674 419511 559348 699185 839022 1118696 1398370 1678044 2097555 2377229 2796740 3356088 4195110 4754458 5593480 7131687 8390220 9508916 11886145 14263374 15801581 16780440 19017832 23772290 28526748 31603162 35658435 47404743 47544580 57053496 63206324 71316870 79007905 94809486 95089160 126412648 142633740 158015810 189618972 237023715 268626877 285267480 316031620 379237944 474047430 537253754 632063240 805880631 948094860 1074507508 1343134385 1611761262 1896189720 2149015016 2686268770 3223522524 4029403155 5372537540 6447045048 8058806310 10745075080 16117612620 32235225240