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10221540000 = 25354724337
BaseRepresentation
bin10011000010100000…
…00101001010100000
3222101100122000212120
421201100011022200
5131413203240000
64410135024240
7511204441110
oct114120051240
928340560776
1010221540000
11437587a321
121b9320b080
13c6b876b29
146cd751040
153ec56e6a0
hex2614052a0

10221540000 has 240 divisors, whose sum is σ = 38320083648. Its totient is φ = 2336256000.

The previous prime is 10221539929. The next prime is 10221540023. The reversal of 10221540000 is 4512201.

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 (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 407832 + ... + 432168.

Almost surely, 210221540000 is an apocalyptic number.

10221540000 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 10221540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19160041824).

10221540000 is an abundant number, since it is smaller than the sum of its proper divisors (28098543648).

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

10221540000 is an equidigital number, since it uses as much as digits as its factorization.

10221540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24377 (or 24354 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The spelling of 10221540000 in words is "ten billion, two hundred twenty-one million, five hundred forty thousand".