22322100020240 has 40 divisors (see below), whose sum is σ = 52052885228760. Its totient is φ = 8902344923136.

The previous prime is 22322100020237. The next prime is 22322100020357. The reversal of 22322100020240 is 4202000122322.

It can be written as a sum of positive squares in 4 ways, for example, as 308287015696 + 22013813004544 = 555236^2 + 4691888^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×22322100020240³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 413958575 + ... + 414012494.

It is an arithmetic number, because the mean of its divisors is an integer number (1301322130719).

Almost surely, 2^{22322100020240} is an apocalyptic number.

22322100020240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22322100020240 is an abundant number, since it is smaller than the sum of its proper divisors (29730785208520).

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

22322100020240 is a wasteful number, since it uses less digits than its factorization.

22322100020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827971419 (or 827971413 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22322100020240 its reverse (4202000122322), we get a palindrome (26524100142562).

The spelling of 22322100020240 in words is "twenty-two trillion, three hundred twenty-two billion, one hundred million, twenty thousand, two hundred forty".