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226829412882 = 236124732
BaseRepresentation
bin1101001101000000010…
…1100010101000010010
3210200111010120002000000
43103100011202220102
512204021312203012
6252112021310430
722250021124432
oct3232005425022
9720433502000
10226829412882
118821a3211a6
1237b64865416
131850b873407
14ad9b3da2c2
155d78a5eddc
hex34d0162a12

226829412882 has 42 divisors (see below), whose sum is σ = 510173717637. Its totient is φ = 75603742416.

The previous prime is 226829412877. The next prime is 226829412883. The reversal of 226829412882 is 288214928622.

226829412882 is a `hidden beast` number, since 2 + 268 + 294 + 12 + 8 + 82 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 217501909641 + 9327503241 = 466371^2 + 96579^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336771.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (226829412883) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 18179398 + ... + 18191870.

Almost surely, 2226829412882 is an apocalyptic number.

226829412882 is an abundant number, since it is smaller than the sum of its proper divisors (283344304755).

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

226829412882 is an frugal number, since it uses more digits than its factorization.

226829412882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24966 (or 12478 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 226829412882 in words is "two hundred twenty-six billion, eight hundred twenty-nine million, four hundred twelve thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 12473 24946 37419 74838 112257 224514 336771 673542 1010313 2020626 3030939 6061878 9092817 18185634 155575729 311151458 466727187 933454374 1400181561 2800363122 4200544683 8401089366 12601634049 25203268098 37804902147 75609804294 113414706441 226829412882