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21997140000 = 253541133329
BaseRepresentation
bin10100011111001000…
…011011100000100000
32002210000111111021220
4110133020123200200
5330022231440000
614034431015040
71406052414333
oct243710334040
962700444256
1021997140000
1193688a2950
12431a96a480
1320c7390294
1410c963861a
1588b2661a0
hex51f21b820

21997140000 has 240 divisors, whose sum is σ = 78716927520. Its totient is φ = 5332480000.

The previous prime is 21997139999. The next prime is 21997140007. The reversal of 21997140000 is 4179912.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21997140007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 643336 + ... + 676664.

It is an arithmetic number, because the mean of its divisors is an integer number (327987198).

Almost surely, 221997140000 is an apocalyptic number.

21997140000 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 21997140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39358463760).

21997140000 is an abundant number, since it is smaller than the sum of its proper divisors (56719787520).

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

21997140000 is a wasteful number, since it uses less digits than its factorization.

21997140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33373 (or 33350 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The spelling of 21997140000 in words is "twenty-one billion, nine hundred ninety-seven million, one hundred forty thousand".