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226008629 = 72111929761
BaseRepresentation
bin11010111100010…
…01111000110101
3120202021102112222
431132021320311
5430324234004
634232052125
75413020200
oct1536117065
9522242488
10226008629
111066376a0
1263834045
1337a92622
1422032937
1514c957be
hexd789e35

226008629 has 48 divisors (see below), whose sum is σ = 312724800. Its totient is φ = 160876800.

The previous prime is 226008623. The next prime is 226008703. The reversal of 226008629 is 926800622.

It is not a de Polignac number, because 226008629 - 24 = 226008613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226008623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296609 + ... + 297369.

It is an arithmetic number, because the mean of its divisors is an integer number (6515100).

Almost surely, 2226008629 is an apocalyptic number.

226008629 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

226008629 is a deficient number, since it is larger than the sum of its proper divisors (86716171).

226008629 is a wasteful number, since it uses less digits than its factorization.

226008629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 226008629 is about 15033.5833719044. The cubic root of 226008629 is about 609.1276871472.

The spelling of 226008629 in words is "two hundred twenty-six million, eight thousand, six hundred twenty-nine".

Divisors: 1 7 11 19 29 49 77 133 203 209 319 539 551 761 931 1421 1463 2233 3857 5327 6061 8371 10241 14459 15631 22069 26999 37289 42427 58597 101213 154483 159049 242759 296989 410179 419311 708491 1081381 1113343 1699313 2935177 4612421 7793401 11895191 20546239 32286947 226008629