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234222587040 = 253513831373301
BaseRepresentation
bin1101101000100011000…
…0010000110010100000
3211101120101010020100010
43122020300100302200
512314141440241130
6255333402524520
722631153066151
oct3321060206240
9741511106303
10234222587040
11903735a9392
1239488806740
131911946aa90
14b49d261928
15615cb400b0
hex3688c10ca0

234222587040 has 384 divisors, whose sum is σ = 810242963712. Its totient is φ = 56527257600.

The previous prime is 234222587021. The next prime is 234222587051. The reversal of 234222587040 is 40785222432.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 234222587040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70953390 + ... + 70956690.

It is an arithmetic number, because the mean of its divisors is an integer number (2110007718).

Almost surely, 2234222587040 is an apocalyptic number.

234222587040 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 234222587040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405121481856).

234222587040 is an abundant number, since it is smaller than the sum of its proper divisors (576020376672).

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

234222587040 is a wasteful number, since it uses less digits than its factorization.

234222587040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The spelling of 234222587040 in words is "two hundred thirty-four billion, two hundred twenty-two million, five hundred eighty-seven thousand, forty".