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226231018992 = 243211473038779
BaseRepresentation
bin1101001010110001101…
…0110110010111110000
3210121221102120111220100
43102230122312113300
512201310120101432
6251532403512400
722226133635016
oct3225432662760
9717842514810
10226231018992
1187a4256aaa0
1237a18388700
13184448ba8a4
14ad41b508b6
155d4125d07c
hex34ac6b65f0

226231018992 has 120 divisors (see below), whose sum is σ = 705385923840. Its totient is φ = 67096218240.

The previous prime is 226231018973. The next prime is 226231018997. The reversal of 226231018992 is 299810132622.

226231018992 is a `hidden beast` number, since 2 + 2 + 623 + 1 + 0 + 18 + 9 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226231018997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1444942 + ... + 1593837.

It is an arithmetic number, because the mean of its divisors is an integer number (5878216032).

Almost surely, 2226231018992 is an apocalyptic number.

226231018992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

226231018992 is an abundant number, since it is smaller than the sum of its proper divisors (479154904848).

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

226231018992 is a wasteful number, since it uses less digits than its factorization.

226231018992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3038851 (or 3038842 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 226231018992 in words is "two hundred twenty-six billion, two hundred thirty-one million, eighteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 47 48 66 72 88 94 99 132 141 144 176 188 198 264 282 376 396 423 517 528 564 752 792 846 1034 1128 1551 1584 1692 2068 2256 3102 3384 4136 4653 6204 6768 8272 9306 12408 18612 24816 37224 74448 3038779 6077558 9116337 12155116 18232674 24310232 27349011 33426569 36465348 48620464 54698022 66853138 72930696 100279707 109396044 133706276 142822613 145861392 200559414 218792088 267412552 285645226 300839121 401118828 428467839 437584176 534825104 571290452 601678242 802237656 856935678 1142580904 1203356484 1285403517 1571048743 1604475312 1713871356 2285161808 2406712968 2570807034 3142097486 3427742712 4713146229 4813425936 5141614068 6284194972 6855485424 9426292458 10283228136 12568389944 14139438687 18852584916 20566456272 25136779888 28278877374 37705169832 56557754748 75410339664 113115509496 226231018992