Search a number
-
+
2233398720 = 263573171151
BaseRepresentation
bin1000010100011110…
…1111010111000000
312202122112102002010
42011013233113000
514033222224340
61005341252520
7106226401350
oct20507572700
95678472063
102233398720
11a46771573
12523b64140
13297926607
14172892b60
15d1117b80
hex851ef5c0

2233398720 has 448 divisors, whose sum is σ = 8539471872. Its totient is φ = 483840000.

The previous prime is 2233398709. The next prime is 2233398733. The reversal of 2233398720 is 278933322.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14790645 + ... + 14790795.

Almost surely, 22233398720 is an apocalyptic number.

2233398720 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 2233398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4269735936).

2233398720 is an abundant number, since it is smaller than the sum of its proper divisors (6306073152).

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

2233398720 is a wasteful number, since it uses less digits than its factorization.

2233398720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 2233398720 is about 47258.8480604426. The cubic root of 2233398720 is about 1307.1399484116.

The spelling of 2233398720 in words is "two billion, two hundred thirty-three million, three hundred ninety-eight thousand, seven hundred twenty".