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225839120880 = 24351949526123
BaseRepresentation
bin1101001001010100001…
…1111000000111110000
3210120221010011000202110
43102111003320013300
512200004303332010
6251425444045320
722213334565642
oct3222503700760
9716833130673
10225839120880
118786132915a
1237929093840
13183b1654c09
14ad05a98892
155d1bb4a120
hex34950f81f0

225839120880 has 80 divisors (see below), whose sum is σ = 736948725120. Its totient is φ = 57054092544.

The previous prime is 225839120879. The next prime is 225839120891. The reversal of 225839120880 is 88021938522.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 24758502 + ... + 24767621.

It is an arithmetic number, because the mean of its divisors is an integer number (9211859064).

Almost surely, 2225839120880 is an apocalyptic number.

225839120880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225839120880 is an abundant number, since it is smaller than the sum of its proper divisors (511109604240).

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

225839120880 is a wasteful number, since it uses less digits than its factorization.

225839120880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49526158 (or 49526152 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 225839120880 in words is "two hundred twenty-five billion, eight hundred thirty-nine million, one hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 49526123 99052246 148578369 198104492 247630615 297156738 396208984 495261230 594313476 742891845 792417968 940996337 990522460 1188626952 1485783690 1881992674 1981044920 2377253904 2822989011 2971567380 3763985348 3962089840 4704981685 5645978022 5943134760 7527970696 9409963370 11291956044 11886269520 14114945055 15055941392 18819926740 22583912088 28229890110 37639853480 45167824176 56459780220 75279706960 112919560440 225839120880