1070222400 has 252 divisors, whose sum is σ = 4097141412. Its totient is φ = 263393280.

The previous prime is 1070222381. The next prime is 1070222429. The reversal of 1070222400 is 42220701.

It can be written as a sum of positive squares in 6 ways, for example, as 90782784 + 979439616 = 9528^2 + 31296^2 .

It is a super-2 number, since 2×1070222400² = 2290751970923520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 184342 + ... + 190058.

Almost surely, 2^1070222400 is an apocalyptic number.

1070222400 is a gapful number since it is divisible by the number (10) 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 1070222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048570706).

1070222400 is an abundant number, since it is smaller than the sum of its proper divisors (3026919012).

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

1070222400 is a wasteful number, since it uses less digits than its factorization.

1070222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5758 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1070222400 is about 32714.2537741578. The cubic root of 1070222400 is about 1022.8799806452.

The spelling of 1070222400 in words is "one billion, seventy million, two hundred twenty-two thousand, four hundred".