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213689466 = 232196110243
BaseRepresentation
bin11001011110010…
…10010001111010
3112220002112211200
430233022101322
5414201030331
633112035030
75203221234
oct1457122172
9486075750
10213689466
11aa693071
125b692a76
133536b293
1420547254
1513b605e6
hexcbca47a

213689466 has 48 divisors (see below), whose sum is σ = 495399840. Its totient is φ = 66368160.

The previous prime is 213689461. The next prime is 213689471. The reversal of 213689466 is 664986312.

It is an interprime number because it is at equal distance from previous prime (213689461) and next prime (213689471).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (213689461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15741 + ... + 25983.

It is an arithmetic number, because the mean of its divisors is an integer number (10320830).

Almost surely, 2213689466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213689466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247699920).

213689466 is an abundant number, since it is smaller than the sum of its proper divisors (281710374).

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

213689466 is a wasteful number, since it uses less digits than its factorization.

213689466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10331 (or 10328 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 213689466 is about 14618.1211515023. The cubic root of 213689466 is about 597.8529427397.

The spelling of 213689466 in words is "two hundred thirteen million, six hundred eighty-nine thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 38 57 61 114 122 171 183 342 366 549 1098 1159 2318 3477 6954 10243 10431 20486 20862 30729 61458 92187 184374 194617 389234 583851 624823 1167702 1249646 1751553 1874469 3503106 3748938 5623407 11246814 11871637 23743274 35614911 71229822 106844733 213689466