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230022333000120 = 233583105672185541
BaseRepresentation
bin110100010011010000111111…
…011100101110100110111000
31010011102220211212210202211010
4310103100333130232212320
5220122141214222000440
62133114445002233520
766310364562254403
oct6423207734564670
91104386755722733
10230022333000120
1167323a183439a1
122196ba51ab58a0
139b470225335ab
1440b31d7074d3a
151b8d61e823580
hexd1343f72e9b8

230022333000120 has 128 divisors (see below), whose sum is σ = 698447469565440. Its totient is φ = 60594498639360.

The previous prime is 230022332999981. The next prime is 230022333000127. The reversal of 230022333000120 is 21000333220032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230022333000127) 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, 104154550 + ... + 106340090.

It is an arithmetic number, because the mean of its divisors is an integer number (5456620855980).

Almost surely, 2230022333000120 is an apocalyptic number.

230022333000120 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 230022333000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349223734782720).

230022333000120 is an abundant number, since it is smaller than the sum of its proper divisors (468425136565320).

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

230022333000120 is a wasteful number, since it uses less digits than its factorization.

230022333000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196205 (or 2196201 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 230022333000120 its reverse (21000333220032), we get a palindrome (251022666220152).

The spelling of 230022333000120 in words is "two hundred thirty trillion, twenty-two billion, three hundred thirty-three million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 10567 21134 31701 42268 52835 63402 84536 105670 126804 158505 211340 253608 317010 422680 634020 877061 1268040 1754122 2185541 2631183 3508244 4371082 4385305 5262366 6556623 7016488 8742164 8770610 10524732 10927705 13113246 13155915 17484328 17541220 21049464 21855410 26226492 26311830 32783115 35082440 43710820 52452984 52623660 65566230 87421640 105247320 131132460 181399903 262264920 362799806 544199709 725599612 906999515 1088399418 1451199224 1813999030 2176798836 2720998545 3627998060 4353597672 5441997090 7255996120 10883994180 21767988360 23094611747 46189223494 69283835241 92378446988 115473058735 138567670482 184756893976 230946117470 277135340964 346419176205 461892234940 554270681928 692838352410 923784469880 1385676704820 1916852775001 2771353409640 3833705550002 5750558325003 7667411100004 9584263875005 11501116650006 15334822200008 19168527750010 23002233300012 28752791625015 38337055500020 46004466600024 57505583250030 76674111000040 115011166500060 230022333000120