Search a number
-
+
21992031000 = 23325341107557
BaseRepresentation
bin10100011110110100…
…111100001100011000
32002202122212221001200
4110132310330030120
5330014424443000
614034125314200
71405661115312
oct243664741430
962678787050
1021992031000
119365a23435
124319105960
1320c62c19c4
1410c8aa87b2
1588aaa7500
hex51ed3c318

21992031000 has 384 divisors, whose sum is σ = 76995696960. Its totient is φ = 5657856000.

The previous prime is 21992030989. The next prime is 21992031001. The reversal of 21992031000 is 13029912.

It is a super-2 number, since 2×219920310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21992031001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39482722 + ... + 39483278.

Almost surely, 221992031000 is an apocalyptic number.

21992031000 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 21992031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38497848480).

21992031000 is an abundant number, since it is smaller than the sum of its proper divisors (55003665960).

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

21992031000 is a wasteful number, since it uses less digits than its factorization.

21992031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 21992031000 in words is "twenty-one billion, nine hundred ninety-two million, thirty-one thousand".