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10992226240 = 265238997173
BaseRepresentation
bin10100011110011000…
…00000111111000000
31001101001210221122101
422033030000333000
5140003002214430
65014425320144
7536253244552
oct121714007700
931331727571
1010992226240
1147309092a6
122169336054
1310624351a8
14763c494d2
15445055dca
hex28f300fc0

10992226240 has 224 divisors, whose sum is σ = 28066227840. Its totient is φ = 4091805696.

The previous prime is 10992226213. The next prime is 10992226241. The reversal of 10992226240 is 4262229901.

It is a super-2 number, since 2×109922262402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10992226240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10992226241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63538794 + ... + 63538966.

It is an arithmetic number, because the mean of its divisors is an integer number (125295660).

Almost surely, 210992226240 is an apocalyptic number.

10992226240 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 10992226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14033113920).

10992226240 is an abundant number, since it is smaller than the sum of its proper divisors (17074001600).

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

10992226240 is a wasteful number, since it uses less digits than its factorization.

10992226240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 10992226240 in words is "ten billion, nine hundred ninety-two million, two hundred twenty-six thousand, two hundred forty".