Search a number
-
+
226266131631100 = 225211271181758521
BaseRepresentation
bin110011011100100110110000…
…011001101000101111111100
31002200010211102202020201222011
4303130212300121220233330
5214124121014144143400
62121121120443101004
765442121446364051
oct6334466031505774
91080124382221864
10226266131631100
1166105a22618210
1221463a85811764
139933a5cab4822
143dc34a6abb028
151b25a7c01e8ba
hexcdc9b0668bfc

226266131631100 has 72 divisors (see below), whose sum is σ = 535636323862416. Its totient is φ = 82278181440000.

The previous prime is 226266131631091. The next prime is 226266131631107. The reversal of 226266131631100 is 1136131662622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226266131631107) 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, 297919840 + ... + 298678360.

It is an arithmetic number, because the mean of its divisors is an integer number (7439393386978).

Almost surely, 2226266131631100 is an apocalyptic number.

226266131631100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226266131631100 is an abundant number, since it is smaller than the sum of its proper divisors (309370192231316).

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

226266131631100 is a wasteful number, since it uses less digits than its factorization.

226266131631100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029727 (or 1029720 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 226266131631100 in words is "two hundred twenty-six trillion, two hundred sixty-six billion, one hundred thirty-one million, six hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 271181 542362 758521 1084724 1355905 1517042 2711810 2982991 3034084 3792605 5423620 5965982 6779525 7585210 8343731 11931964 13559050 14914955 15170420 16687462 18963025 27118100 29829910 33374924 37926050 41718655 59659820 74574775 75852100 83437310 149149550 166874620 208593275 298299100 417186550 834373100 205696483301 411392966602 822785933204 1028482416505 2056964833010 2262661316311 4113929666020 4525322632622 5142412082525 9050645265244 10284824165050 11313306581555 20569648330100 22626613163110 45253226326220 56566532907775 113133065815550 226266131631100