22201151400 has 288 divisors, whose sum is σ = 75649499640. Its totient is φ = 5834465280.

The previous prime is 22201151387. The next prime is 22201151431. The reversal of 22201151400 is 415110222.

It can be written as a sum of positive squares in 12 ways, for example, as 11881436004 + 10319715396 = 109002^2 + 101586^2 .

It is a super-2 number, since 2×22201151400² (a number of 21 digits) 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 71 ways as a sum of consecutive naturals, for example, 48579972 + ... + 48580428.

Almost surely, 2^22201151400 is an apocalyptic number.

22201151400 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 22201151400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37824749820).

22201151400 is an abundant number, since it is smaller than the sum of its proper divisors (53448348240).

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

22201151400 is a wasteful number, since it uses less digits than its factorization.

22201151400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 22201151400 its reverse (415110222), we get a palindrome (22616261622).

The spelling of 22201151400 in words is "twenty-two billion, two hundred one million, one hundred fifty-one thousand, four hundred".