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226356652296 = 23325359317781
BaseRepresentation
bin1101001011001111101…
…0000110100100001000
3210122021011222100101200
43102303322012210020
512202034300333141
6251553052344200
722232220540615
oct3226372064410
9718234870350
10226356652296
1187aa747a175
1237a52475060
1318464937918
14ad546d550c
155d4c2c7ab6
hex34b3e86908

226356652296 has 48 divisors (see below), whose sum is σ = 624616244460. Its totient is φ = 74028589440.

The previous prime is 226356652289. The next prime is 226356652297. The reversal of 226356652296 is 692256653622.

226356652296 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 566 + 52 + 29 + 6 = 666.

226356652296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 222231159396 + 4125492900 = 471414^2 + 64230^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (226356652297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29655075 + ... + 29662706.

Almost surely, 2226356652296 is an apocalyptic number.

It is an amenable number.

226356652296 is an abundant number, since it is smaller than the sum of its proper divisors (398259592164).

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

226356652296 is a wasteful number, since it uses less digits than its factorization.

226356652296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59317846 (or 59317839 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 226356652296 in words is "two hundred twenty-six billion, three hundred fifty-six million, six hundred fifty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 59317781 118635562 177953343 237271124 355906686 474542248 533860029 711813372 1067720058 1423626744 2135440116 3143842393 4270880232 6287684786 9431527179 12575369572 18863054358 25150739144 28294581537 37726108716 56589163074 75452217432 113178326148 226356652296