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226311133125 = 3547111997877
BaseRepresentation
bin1101001011000100110…
…0011101011111000101
3210122011000022201211110
43102301030131133011
512201441122230000
6251544344555233
722231125614640
oct3226114353705
9718130281743
10226311133125
1187a83809a20
1237a3b182b19
131845838abbc
14ad4c646a57
155d482d5850
hex34b131d7c5

226311133125 has 160 divisors (see below), whose sum is σ = 472528742400. Its totient is φ = 93566880000.

The previous prime is 226311133091. The next prime is 226311133151. The reversal of 226311133125 is 521331113622.

It is not a de Polignac number, because 226311133125 - 28 = 226311132869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 226311133092 and 226311133101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28726687 + ... + 28734563.

It is an arithmetic number, because the mean of its divisors is an integer number (2953304640).

Almost surely, 2226311133125 is an apocalyptic number.

226311133125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

226311133125 is an abundant number, since it is smaller than the sum of its proper divisors (246217609275).

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

226311133125 is a wasteful number, since it uses less digits than its factorization.

226311133125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8117 (or 8102 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

Adding to 226311133125 its reverse (521331113622), we get a palindrome (747642246747).

The spelling of 226311133125 in words is "two hundred twenty-six billion, three hundred eleven million, one hundred thirty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 125 165 175 199 231 275 375 385 525 597 625 825 875 995 1155 1375 1393 1875 1925 2189 2625 2985 4125 4179 4375 4975 5775 6567 6875 6965 7877 9625 10945 13125 14925 15323 20625 20895 23631 24875 28875 32835 34825 39385 45969 48125 54725 55139 74625 76615 86647 104475 118155 124375 144375 164175 165417 174125 196925 229845 259941 273625 275695 373125 383075 433235 522375 590775 606529 820875 827085 870625 984625 1149225 1299705 1368125 1378475 1567523 1819587 1915375 2166175 2611875 2953875 3032645 4104375 4135425 4702569 4923125 5746125 6498525 6892375 7837615 9097935 9576875 10830875 10972661 14769375 15163225 17242753 20677125 23512845 28730625 32492625 32917983 34461875 39188075 45489675 51728259 54154375 54863305 75816125 86213765 103385625 117564225 120699271 162463125 164589915 195940375 227448375 258641295 274316525 362097813 379080625 431068825 587821125 603496355 822949575 979701875 1137241875 1293206475 1371582625 1810489065 2155344125 2939105625 3017481775 4114747875 6466032375 6857913125 9052445325 10776720625 15087408875 20573739375 32330161875 45262226625 75437044375 226311133125