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226642604112 = 243216370913619
BaseRepresentation
bin1101001100010011110…
…0111011000001010000
3210200000010001012112200
43103010330323001100
512203131001312422
6252041305323200
722242262230441
oct3230474730120
9720003035480
10226642604112
1188133928a91
1237b12196500
13184abc57392
14ad8068d2c8
155d6745e2ac
hex34c4f3b050

226642604112 has 120 divisors (see below), whose sum is σ = 639122858400. Its totient is φ = 74972646144.

The previous prime is 226642604077. The next prime is 226642604129. The reversal of 226642604112 is 211406246622.

226642604112 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 42 + 604 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 16634839 + ... + 16648457.

It is an arithmetic number, because the mean of its divisors is an integer number (5326023820).

Almost surely, 2226642604112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226642604112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319561429200).

226642604112 is an abundant number, since it is smaller than the sum of its proper divisors (412480254288).

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

226642604112 is a wasteful number, since it uses less digits than its factorization.

226642604112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14505 (or 14496 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 226642604112 in words is "two hundred twenty-six billion, six hundred forty-two million, six hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 163 326 489 652 709 978 1304 1418 1467 1956 2127 2608 2836 2934 3912 4254 5672 5868 6381 7824 8508 11344 11736 12762 13619 17016 23472 25524 27238 34032 40857 51048 54476 81714 102096 108952 115567 122571 163428 217904 231134 245142 326856 346701 462268 490284 653712 693402 924536 980568 1040103 1386804 1849072 1961136 2080206 2219897 2773608 4160412 4439794 5547216 6659691 8320824 8879588 9655871 13319382 16641648 17759176 19311742 19979073 26638764 28967613 35518352 38623484 39958146 53277528 57935226 77246968 79916292 86902839 106555056 115870452 154493936 159832584 173805678 231740904 319665168 347611356 463481808 695222712 1390445424 1573906973 3147813946 4721720919 6295627892 9443441838 12591255784 14165162757 18886883676 25182511568 28330325514 37773767352 56660651028 75547534704 113321302056 226642604112