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31222890000 = 243254192312
BaseRepresentation
bin11101000101000001…
…110111111000010000
32222120222101011002100
4131011001313320100
51002421024440000
622202114520400
72153506120551
oct350501677020
988528334070
1031222890000
1112272564425
126074596100
132c37842253
141722a16328
15c2b186a00
hex745077e10

31222890000 has 675 divisors, whose sum is σ = 119077663419. Its totient is φ = 7633440000.

The previous prime is 31222889989. The next prime is 31222890007. The reversal of 31222890000 is 9822213.

It is a happy number.

The square root of 31222890000 is 176700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 2447874576 + 28775015424 = 49476^2 + 169632^2 .

It is not an unprimeable number, because it can be changed into a prime (31222890007) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1007189985 + ... + 1007190015.

Almost surely, 231222890000 is an apocalyptic number.

31222890000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31222890000 is the 176700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31222890000

31222890000 is an abundant number, since it is smaller than the sum of its proper divisors (87854773419).

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

31222890000 is a wasteful number, since it uses less digits than its factorization.

31222890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 31222890000 in words is "thirty-one billion, two hundred twenty-two million, eight hundred ninety thousand".