226962973440 has 864 divisors, whose sum is σ = 933756235776. Its totient is φ = 49806213120.

The previous prime is 226962973423. The next prime is 226962973469. The reversal of 226962973440 is 44379269622.

226962973440 is a `hidden beast` number, since 2 + 2 + 6 + 9 + 6 + 297 + 344 + 0 = 666.

It is a super-2 number, since 2×226962973440² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 407473642 + ... + 407474198.

It is an arithmetic number, because the mean of its divisors is an integer number (1080736384).

Almost surely, 2^226962973440 is an apocalyptic number.

226962973440 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 226962973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466878117888).

226962973440 is an abundant number, since it is smaller than the sum of its proper divisors (706793262336).

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

226962973440 is a wasteful number, since it uses less digits than its factorization.

226962973440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 226962973440 in words is "two hundred twenty-six billion, nine hundred sixty-two million, nine hundred seventy-three thousand, four hundred forty".