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226640024600 = 235211257400849
BaseRepresentation
bin1101001100010011001…
…1000101010000011000
3210122222221012011010012
43103010303011100120
512203124321241400
6252041134141052
722242231265133
oct3230463052030
9718887164105
10226640024600
1188132426a60
1237b11351788
13184ab563242
14ad801bb21a
155d670eed35
hex34c4cc5418

226640024600 has 96 divisors (see below), whose sum is σ = 577079694000. Its totient is φ = 82093670400.

The previous prime is 226640024581. The next prime is 226640024623. The reversal of 226640024600 is 6420046622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364976 + ... + 765824.

Almost surely, 2226640024600 is an apocalyptic number.

226640024600 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 226640024600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288539847000).

226640024600 is an abundant number, since it is smaller than the sum of its proper divisors (350439669400).

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

226640024600 is a wasteful number, since it uses less digits than its factorization.

226640024600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401133 (or 401124 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 226640024600 in words is "two hundred twenty-six billion, six hundred forty million, twenty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 257 275 440 514 550 1028 1100 1285 2056 2200 2570 2827 5140 5654 6425 10280 11308 12850 14135 22616 25700 28270 51400 56540 70675 113080 141350 282700 400849 565400 801698 1603396 2004245 3206792 4008490 4409339 8016980 8818678 10021225 16033960 17637356 20042450 22046695 35274712 40084900 44093390 80169800 88186780 103018193 110233475 176373560 206036386 220466950 412072772 440933900 515090965 824145544 881867800 1030181930 1133200123 2060363860 2266400246 2575454825 4120727720 4532800492 5150909650 5666000615 9065600984 10301819300 11332001230 20603638600 22664002460 28330003075 45328004920 56660006150 113320012300 226640024600