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226400730460 = 225232967253307
BaseRepresentation
bin1101001011011010001…
…0001111110101011100
3210122101020220202021021
43102312202033311130
512202132041333320
6252001305213524
722233264312442
oct3226642176534
9718336822237
10226400730460
118801a345803
1237a651912a4
1318470acb788
14ad5a4cab92
155d510d2daa
hex34b688fd5c

226400730460 has 96 divisors (see below), whose sum is σ = 520882306560. Its totient is φ = 82387269888.

The previous prime is 226400730443. The next prime is 226400730463. The reversal of 226400730460 is 64037004622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226400730463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 767127 + ... + 1020433.

It is an arithmetic number, because the mean of its divisors is an integer number (5425857360).

Almost surely, 2226400730460 is an apocalyptic number.

226400730460 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 226400730460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260441153280).

226400730460 is an abundant number, since it is smaller than the sum of its proper divisors (294481576100).

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

226400730460 is a wasteful number, since it uses less digits than its factorization.

226400730460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253435 (or 253433 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The spelling of 226400730460 in words is "two hundred twenty-six billion, four hundred million, seven hundred thirty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 23 29 46 58 67 92 115 116 134 145 230 268 290 335 460 580 667 670 1334 1340 1541 1943 2668 3082 3335 3886 6164 6670 7705 7772 9715 13340 15410 19430 30820 38860 44689 89378 178756 223445 253307 446890 506614 893780 1013228 1266535 2533070 5066140 5826061 7345903 11652122 14691806 16971569 23304244 29130305 29383612 33943138 36729515 58260610 67886276 73459030 84857845 116521220 146918060 168955769 169715690 337911538 339431380 390346087 492175501 675823076 780692174 844778845 984351002 1561384348 1689557690 1951730435 1968702004 2460877505 3379115380 3903460870 4921755010 7806921740 9843510020 11320036523 22640073046 45280146092 56600182615 113200365230 226400730460