22036765140 has 216 divisors, whose sum is σ = 72678354840. Its totient is φ = 5402262528.

The previous prime is 22036765123. The next prime is 22036765147. The reversal of 22036765140 is 4156763022.

22036765140 is a `hidden beast` number, since 220 + 367 + 65 + 14 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 18560247696 + 3476517444 = 136236^2 + 58962^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 22036765095 and 22036765104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22036765147) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8181634 + ... + 8184326.

It is an arithmetic number, because the mean of its divisors is an integer number (336473865).

Almost surely, 2^22036765140 is an apocalyptic number.

22036765140 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 22036765140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36339177420).

22036765140 is an abundant number, since it is smaller than the sum of its proper divisors (50641589700).

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

22036765140 is a wasteful number, since it uses less digits than its factorization.

22036765140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 22036765140 in words is "twenty-two billion, thirty-six million, seven hundred sixty-five thousand, one hundred forty".