222429035888640 has 3648 divisors, whose sum is σ = 997229106086400. Its totient is φ = 46745316753408.

The previous prime is 222429035888603. The next prime is 222429035888677. The reversal of 222429035888640 is 46888530924222.

It is a happy number.

222429035888640 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 2 + 9 + 0 + 3 + 588 + 8 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (222429035888603) and next prime (222429035888677).

It is a tau number, because it is divible by the number of its divisors (3648).

It is a super-2 number, since 2×222429035888640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1416745451442 + ... + 1416745451598.

It is an arithmetic number, because the mean of its divisors is an integer number (273363241800).

Almost surely, 2^{222429035888640} is an apocalyptic number.

222429035888640 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 222429035888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498614553043200).

222429035888640 is an abundant number, since it is smaller than the sum of its proper divisors (774800070197760).

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

222429035888640 is an equidigital number, since it uses as much as digits as its factorization.

222429035888640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 222429035888640 in words is "two hundred twenty-two trillion, four hundred twenty-nine billion, thirty-five million, eight hundred eighty-eight thousand, six hundred forty".