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226493735031 = 3423290341879
BaseRepresentation
bin1101001011110000010…
…1000010000001110111
3210122121201220212120000
43102330011002001313
512202324344010111
6252014430442343
722235503661004
oct3227405020167
9718551825500
10226493735031
1188067899493
1237a903633b3
1318487163175
14ad689ba8ab
155d59354c56
hex34bc142077

226493735031 has 40 divisors (see below), whose sum is σ = 353183086080. Its totient is φ = 144377587728.

The previous prime is 226493735029. The next prime is 226493735051. The reversal of 226493735031 is 130537394622.

226493735031 is a `hidden beast` number, since 2 + 264 + 9 + 3 + 7 + 350 + 31 = 666.

It is not a de Polignac number, because 226493735031 - 21 = 226493735029 is a prime.

It is a super-2 number, since 2×2264937350312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226493735051) 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 39 ways as a sum of consecutive naturals, for example, 5387350 + ... + 5429228.

It is an arithmetic number, because the mean of its divisors is an integer number (8829577152).

Almost surely, 2226493735031 is an apocalyptic number.

226493735031 is a deficient number, since it is larger than the sum of its proper divisors (126689351049).

226493735031 is a wasteful number, since it uses less digits than its factorization.

226493735031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44817 (or 44808 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

It can be divided in two parts, 2264937 and 35031, that added together give a cube (2299968 = 1323).

The spelling of 226493735031 in words is "two hundred twenty-six billion, four hundred ninety-three million, seven hundred thirty-five thousand, thirty-one".

Divisors: 1 3 9 23 27 69 81 207 621 1863 2903 8709 26127 41879 66769 78381 125637 200307 235143 376911 600921 963217 1130733 1802763 2889651 3392199 5408289 8668953 26006859 78020577 121574737 364724211 1094172633 2796218951 3282517899 8388656853 9847553697 25165970559 75497911677 226493735031