Search a number
-
+
234364566020 = 2251322337591381
BaseRepresentation
bin1101101001000100110…
…1110111101000000100
3211101221021021111212212
43122101031313220010
512314434312103040
6255355434002552
722634525641064
oct3322115675004
9741837244785
10234364566020
1190436762292
1239508276458
131913c9bbb00
14b4b405d3a4
15616a337d65
hex3691377a04

234364566020 has 288 divisors, whose sum is σ = 581238685440. Its totient is φ = 79112816640.

The previous prime is 234364566019. The next prime is 234364566047. The reversal of 234364566020 is 20665463432.

It is a super-3 number, since 3×2343645660203 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169705730 + ... + 169707110.

It is an arithmetic number, because the mean of its divisors is an integer number (2018189880).

Almost surely, 2234364566020 is an apocalyptic number.

234364566020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234364566020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290619342720).

234364566020 is an abundant number, since it is smaller than the sum of its proper divisors (346874119420).

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

234364566020 is a wasteful number, since it uses less digits than its factorization.

234364566020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 41.

The spelling of 234364566020 in words is "two hundred thirty-four billion, three hundred sixty-four million, five hundred sixty-six thousand, twenty".