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225733275240 = 233511414170977
BaseRepresentation
bin1101001000111011000…
…0000110111001101000
3210120122201222111211120
43102032300012321220
512144300204301430
6251411143255240
722210611116034
oct3221660067150
9716581874746
10225733275240
1187807604820
12378b974a520
1318395745765
14acd59c51c4
155d126dd610
hex348ec06e68

225733275240 has 128 divisors (see below), whose sum is σ = 756782248320. Its totient is φ = 53388492800.

The previous prime is 225733275203. The next prime is 225733275241. The reversal of 225733275240 is 42572337522.

It is a junction number, because it is equal to n+sod(n) for n = 225733275192 and 225733275201.

It is not an unprimeable number, because it can be changed into a prime (225733275241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2031369 + ... + 2139608.

It is an arithmetic number, because the mean of its divisors is an integer number (5912361315).

Almost surely, 2225733275240 is an apocalyptic number.

225733275240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225733275240 is an abundant number, since it is smaller than the sum of its proper divisors (531048973080).

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

225733275240 is a wasteful number, since it uses less digits than its factorization.

225733275240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171043 (or 4171039 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 42.

The spelling of 225733275240 in words is "two hundred twenty-five billion, seven hundred thirty-three million, two hundred seventy-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 41 44 55 60 66 82 88 110 120 123 132 164 165 205 220 246 264 328 330 410 440 451 492 615 660 820 902 984 1230 1320 1353 1640 1804 2255 2460 2706 3608 4510 4920 5412 6765 9020 10824 13530 18040 27060 54120 4170977 8341954 12512931 16683908 20854885 25025862 33367816 41709770 45880747 50051724 62564655 83419540 91761494 100103448 125129310 137642241 166839080 171010057 183522988 229403735 250258620 275284482 342020114 367045976 458807470 500517240 513030171 550568964 684040228 688211205 855050285 917614940 1026060342 1101137928 1368080456 1376422410 1710100570 1835229880 1881110627 2052120684 2565150855 2752844820 3420201140 3762221254 4104241368 5130301710 5505689640 5643331881 6840402280 7524442508 9405553135 10260603420 11286663762 15048885016 18811106270 20521206840 22573327524 28216659405 37622212540 45146655048 56433318810 75244425080 112866637620 225733275240