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225024831696 = 2437437113467
BaseRepresentation
bin1101000110010010000…
…1100111000011010000
3210111211100220211222210
43101210201213003100
512141322324103241
6251212555032120
722154216340000
oct3214441470320
9714740824883
10225024831696
1187483718695
123774043b640
13182b1a3b0b2
14ac69890000
155cc03ee316
hex34648670d0

225024831696 has 400 divisors, whose sum is σ = 704156341824. Its totient is φ = 61868814336.

The previous prime is 225024831671. The next prime is 225024831737. The reversal of 225024831696 is 696138420522.

It is a happy number.

It is a super-3 number, since 3×2250248316963 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 481851655 + ... + 481852121.

Almost surely, 2225024831696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225024831696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352078170912).

225024831696 is an abundant number, since it is smaller than the sum of its proper divisors (479131510128).

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

225024831696 is a wasteful number, since it uses less digits than its factorization.

225024831696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 225024831696 in words is "two hundred twenty-five billion, twenty-four million, eight hundred thirty-one thousand, six hundred ninety-six".