35222567220 has 144 divisors (see below), whose sum is σ = 109237866192. Its totient is φ = 9183283200.

The previous prime is 35222567209. The next prime is 35222567231. The reversal of 35222567220 is 2276522253.

35222567220 is a `hidden beast` number, since 3 + 52 + 22 + 567 + 2 + 20 = 666.

35222567220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (35222567209) and next prime (35222567231).

It can be written as a sum of positive squares in 8 ways, for example, as 1992193956 + 33230373264 = 44634^2 + 182292^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2788920 + ... + 2801520.

It is an arithmetic number, because the mean of its divisors is an integer number (758596293).

Almost surely, 2^35222567220 is an apocalyptic number.

35222567220 is a gapful number since it is divisible by the number (30) 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 35222567220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54618933096).

35222567220 is an abundant number, since it is smaller than the sum of its proper divisors (74015298972).

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

35222567220 is a wasteful number, since it uses less digits than its factorization.

35222567220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12962 (or 12957 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 35222567220 in words is "thirty-five billion, two hundred twenty-two million, five hundred sixty-seven thousand, two hundred twenty".