Search a number
-
+
2293966272 = 2631323311289
BaseRepresentation
bin1000100010111011…
…0010010111000000
312220212111120010210
42020232302113000
514144223410042
61015343354120
7110563251213
oct21056622700
95825446123
102293966272
11a7797a8a4
125402b2940
132a73419c0
1417a93b77a
15d65cda9c
hex88bb25c0

2293966272 has 224 divisors, whose sum is σ = 7046000640. Its totient is φ = 652861440.

The previous prime is 2293966253. The next prime is 2293966291. The reversal of 2293966272 is 2726693922.

It is an interprime number because it is at equal distance from previous prime (2293966253) and next prime (2293966291).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1779004 + ... + 1780292.

It is an arithmetic number, because the mean of its divisors is an integer number (31455360).

Almost surely, 22293966272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2293966272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523000320).

2293966272 is an abundant number, since it is smaller than the sum of its proper divisors (4752034368).

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

2293966272 is a wasteful number, since it uses less digits than its factorization.

2293966272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1361 counting only the distinct ones).

The product of its digits is 979776, while the sum is 48.

The square root of 2293966272 is about 47895.3679597516. The cubic root of 2293966272 is about 1318.8508272018.

The spelling of 2293966272 in words is "two billion, two hundred ninety-three million, nine hundred sixty-six thousand, two hundred seventy-two".