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2149297920 = 283257112423
BaseRepresentation
bin1000000000011011…
…1010111100000000
312112210021122110200
42000012322330000
513400210013140
6553134525200
7104155505460
oct20006727400
95483248420
102149297920
11a0324a380
124bb966800
1328338b823
1416563dba0
15c8a54030
hex801baf00

2149297920 has 432 divisors, whose sum is σ = 9275116032. Its totient is φ = 446423040.

The previous prime is 2149297903. The next prime is 2149297949. The reversal of 2149297920 is 297929412.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 885829 + ... + 888251.

It is an arithmetic number, because the mean of its divisors is an integer number (21470176).

Almost surely, 22149297920 is an apocalyptic number.

2149297920 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 2149297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4637558016).

2149297920 is an abundant number, since it is smaller than the sum of its proper divisors (7125818112).

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

2149297920 is a wasteful number, since it uses less digits than its factorization.

2149297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2149297920 is about 46360.5211359838. The cubic root of 2149297920 is about 1290.5223772249.

The spelling of 2149297920 in words is "two billion, one hundred forty-nine million, two hundred ninety-seven thousand, nine hundred twenty".