229307100072960 has 1056 divisors, whose sum is σ = 932739579749376. Its totient is φ = 46820317593600.

The previous prime is 229307100072943. The next prime is 229307100072997. The reversal of 229307100072960 is 69270001703922.

It is a super-2 number, since 2×229307100072960² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1343162005 + ... + 1343332715.

Almost surely, 2^{229307100072960} is an apocalyptic number.

229307100072960 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 229307100072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466369789874688).

229307100072960 is an abundant number, since it is smaller than the sum of its proper divisors (703432479676416).

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

229307100072960 is a wasteful number, since it uses less digits than its factorization.

229307100072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170821 (or 170772 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The spelling of 229307100072960 in words is "two hundred twenty-nine trillion, three hundred seven billion, one hundred million, seventy-two thousand, nine hundred sixty".