229422520890000 has 675 divisors, whose sum is σ = 831421594064919. Its totient is φ = 59035777920000.

The previous prime is 229422520889959. The next prime is 229422520890047. The reversal of 229422520890000 is 98025224922.

The square root of 229422520890000 is 15146700.

It is a perfect power (a square), and thus also a powerful number.

229422520890000 is a `hidden beast` number, since 2 + 2 + 9 + 42 + 2 + 520 + 89 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 64709732823696 + 164712788066304 = 8044236^2 + 12834048^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 131776289130 + ... + 131776290870.

Almost surely, 2^{229422520890000} is an apocalyptic number.

229422520890000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

229422520890000 is the 15146700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229422520890000

229422520890000 is an abundant number, since it is smaller than the sum of its proper divisors (601999073174919).

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

229422520890000 is an frugal number, since it uses more digits than its factorization.

229422520890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3574 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

It can be divided in two parts, 2294225 and 20890000, that added together give a square (23184225 = 4815²).

The spelling of 229422520890000 in words is "two hundred twenty-nine trillion, four hundred twenty-two billion, five hundred twenty million, eight hundred ninety thousand".