[go: up one dir, main page]

Search a number
-
+
2293416480 = 253523293709
BaseRepresentation
bin1000100010110010…
…1100001000100000
312220211110121222010
42020230230020200
514144103311410
61015323512520
7110555501265
oct21054541040
95824417863
102293416480
11a77634823
12540088740
132a71ab694
1417a83726c
15d6520c20
hex88b2c220

2293416480 has 192 divisors, whose sum is σ = 7574757120. Its totient is φ = 582168576.

The previous prime is 2293416479. The next prime is 2293416497. The reversal of 2293416480 is 846143922.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3234366 + ... + 3235074.

It is an arithmetic number, because the mean of its divisors is an integer number (39451860).

Almost surely, 22293416480 is an apocalyptic number.

2293416480 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 2293416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3787378560).

2293416480 is an abundant number, since it is smaller than the sum of its proper divisors (5281340640).

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

2293416480 is a wasteful number, since it uses less digits than its factorization.

2293416480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 2293416480 is about 47889.6281046324. The cubic root of 2293416480 is about 1318.7454563458.

The spelling of 2293416480 in words is "two billion, two hundred ninety-three million, four hundred sixteen thousand, four hundred eighty".