226407025152 has 640 divisors, whose sum is σ = 840126228480. Its totient is φ = 58485473280.

The previous prime is 226407025121. The next prime is 226407025301. The reversal of 226407025152 is 251520704622.

226407025152 is a `hidden beast` number, since 2 + 2 + 640 + 7 + 0 + 2 + 5 + 1 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 241629228 + ... + 241630164.

It is an arithmetic number, because the mean of its divisors is an integer number (1312697232).

Almost surely, 2^226407025152 is an apocalyptic number.

226407025152 is a gapful number since it is divisible by the number (22) 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 226407025152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420063114240).

226407025152 is an abundant number, since it is smaller than the sum of its proper divisors (613719203328).

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

226407025152 is a wasteful number, since it uses less digits than its factorization.

226407025152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 226407025152 its reverse (251520704622), we get a palindrome (477927729774).

The spelling of 226407025152 in words is "two hundred twenty-six billion, four hundred seven million, twenty-five thousand, one hundred fifty-two".