226631520000 has 1260 divisors, whose sum is σ = 889861184520. Its totient is φ = 57480192000.

The previous prime is 226631519999. The next prime is 226631520001. The reversal of 226631520000 is 25136622.

226631520000 is a `hidden beast` number, since 2 + 2 + 6 + 631 + 5 + 20 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (226631519999) and next prime (226631520001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226631520001) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 3382559967 + ... + 3382560033.

Almost surely, 2^226631520000 is an apocalyptic number.

226631520000 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 226631520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444930592260).

226631520000 is an abundant number, since it is smaller than the sum of its proper divisors (663229664520).

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

226631520000 is an frugal number, since it uses more digits than its factorization.

226631520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 226631520000 its reverse (25136622), we get a palindrome (226656656622).

The spelling of 226631520000 in words is "two hundred twenty-six billion, six hundred thirty-one million, five hundred twenty thousand".