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226307746500 = 223531113715621
BaseRepresentation
bin1101001011000011111…
…1100010101011000100
3210122010202221200020220
43102300333202223010
512201434240342000
6251544144224340
722231055051253
oct3226077425304
9718122850226
10226307746500
1187a81906560
1237a3a00b0b0
1318457773594
14ad4c00479a
155d47d671a0
hex34b0fe2ac4

226307746500 has 96 divisors (see below), whose sum is σ = 718918042752. Its totient is φ = 54862480000.

The previous prime is 226307746481. The next prime is 226307746531. The reversal of 226307746500 is 5647703622.

226307746500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2263077465002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6841311 + ... + 6874310.

It is an arithmetic number, because the mean of its divisors is an integer number (7488729612).

Almost surely, 2226307746500 is an apocalyptic number.

226307746500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226307746500 is an abundant number, since it is smaller than the sum of its proper divisors (492610296252).

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

226307746500 is a wasteful number, since it uses less digits than its factorization.

226307746500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13715654 (or 13715642 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 226307746500 in words is "two hundred twenty-six billion, three hundred seven million, seven hundred forty-six thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 125 132 150 165 220 250 275 300 330 375 500 550 660 750 825 1100 1375 1500 1650 2750 3300 4125 5500 8250 16500 13715621 27431242 41146863 54862484 68578105 82293726 137156210 150871831 164587452 205734315 274312420 301743662 342890525 411468630 452615493 603487324 685781050 754359155 822937260 905230986 1028671575 1371562100 1508718310 1714452625 1810461972 2057343150 2263077465 3017436620 3428905250 3771795775 4114686300 4526154930 5143357875 6857810500 7543591550 9052309860 10286715750 11315387325 15087183100 18858978875 20573431500 22630774650 37717957750 45261549300 56576936625 75435915500 113153873250 226307746500