Search a number
-
+
234113204000 = 2553134795791
BaseRepresentation
bin1101101000001000111…
…0111111111100100000
3211101021202022000000102
43122002032333330200
512313430440012000
6255314454241532
722625354254154
oct3320216777440
9741252260012
10234113204000
1190317889285
12394580562a8
13190cc8c04a0
14b48c90b064
1561532353d5
hex36823bff20

234113204000 has 192 divisors, whose sum is σ = 632650217472. Its totient is φ = 84601728000.

The previous prime is 234113203999. The next prime is 234113204033. The reversal of 234113204000 is 402311432.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2396105 + ... + 2491895.

It is an arithmetic number, because the mean of its divisors is an integer number (3295053216).

Almost surely, 2234113204000 is an apocalyptic number.

234113204000 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 234113204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316325108736).

234113204000 is an abundant number, since it is smaller than the sum of its proper divisors (398537013472).

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

234113204000 is a wasteful number, since it uses less digits than its factorization.

234113204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95876 (or 95858 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 234113204000 its reverse (402311432), we get a palindrome (234515515432).

The spelling of 234113204000 in words is "two hundred thirty-four billion, one hundred thirteen million, two hundred four thousand".