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234512052000 = 2535320819391
BaseRepresentation
bin1101101001101000000…
…0011110111100100000
3211102022112210120121120
43122122000132330200
512320240041131000
6255422223052240
722641266360262
oct3323200367440
9742275716546
10234512052000
1190501a37726
1239549741080
131916441a615
14b4c9891b32
15617826c6a0
hex369a01ef20

234512052000 has 192 divisors, whose sum is σ = 768712508928. Its totient is φ = 62499840000.

The previous prime is 234512051989. The next prime is 234512052041. The reversal of 234512052000 is 250215432.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24967305 + ... + 24976695.

It is an arithmetic number, because the mean of its divisors is an integer number (4003710984).

Almost surely, 2234512052000 is an apocalyptic number.

234512052000 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 234512052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384356254464).

234512052000 is an abundant number, since it is smaller than the sum of its proper divisors (534200456928).

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

234512052000 is a wasteful number, since it uses less digits than its factorization.

234512052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11500 (or 11482 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 234512052000 its reverse (250215432), we get a palindrome (234762267432).

The spelling of 234512052000 in words is "two hundred thirty-four billion, five hundred twelve million, fifty-two thousand".