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2141228880 = 2432571767373
BaseRepresentation
bin111111110100000…
…1000111101010000
312112020002200211100
41333220020331100
513341123311010
6552245544400
7104030100540
oct17750107520
95466080740
102141228880
119a9738a4a
124b9115100
132817c4b4b
1416453d320
15c7ead2c0
hex7fa08f50

2141228880 has 480 divisors, whose sum is σ = 8855218944. Its totient is φ = 452542464.

The previous prime is 2141228857. The next prime is 2141228899. The reversal of 2141228880 is 888221412.

It is a super-2 number, since 2×21412288802 = 9169722233092108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5740374 + ... + 5740746.

Almost surely, 22141228880 is an apocalyptic number.

2141228880 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 2141228880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4427609472).

2141228880 is an abundant number, since it is smaller than the sum of its proper divisors (6713990064).

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

2141228880 is a wasteful number, since it uses less digits than its factorization.

2141228880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 2141228880 is about 46273.4143974702. The cubic root of 2141228880 is about 1288.9053630915.

The spelling of 2141228880 in words is "two billion, one hundred forty-one million, two hundred twenty-eight thousand, eight hundred eighty".