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234225008640 = 21733573161
BaseRepresentation
bin1101101000100011100…
…1100000000000000000
3211101120112200021011000
43122020321200000000
512314143100234030
6255333530452000
722631212503210
oct3321071400000
9741515607130
10234225008640
1190374a02807
1239489594000
1319119b0808c
14b49d6d2240
15615ce6c860
hex3688e60000

234225008640 has 1152 divisors, whose sum is σ = 998576087040. Its totient is φ = 50960793600.

The previous prime is 234225008639. The next prime is 234225008651. The reversal of 234225008640 is 46800522432.

234225008640 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 2 + 5 + 0 + 0 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×2342250086402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 234225008595 and 234225008604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3839754210 + ... + 3839754270.

It is an arithmetic number, because the mean of its divisors is an integer number (866819520).

Almost surely, 2234225008640 is an apocalyptic number.

234225008640 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 234225008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499288043520).

234225008640 is an abundant number, since it is smaller than the sum of its proper divisors (764351078400).

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

234225008640 is an frugal number, since it uses more digits than its factorization.

234225008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 234225008640 in words is "two hundred thirty-four billion, two hundred twenty-five million, eight thousand, six hundred forty".