Search a number
-
+
2302283940 = 2235113127227
BaseRepresentation
bin1000100100111010…
…0001000010100100
312221110011010211120
42021032201002210
514203341041230
61020241533540
7111024043035
oct21116410244
95843133746
102302283940
11a81641000
125430442b0
132a8c948b8
1417baa4a8c
15d71c3310
hex893a10a4

2302283940 has 192 divisors, whose sum is σ = 7177863168. Its totient is φ = 551295360.

The previous prime is 2302283917. The next prime is 2302283989. The reversal of 2302283940 is 493822032.

It is a super-2 number, since 2×23022839402 = 10601022680763847200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 10142107 + ... + 10142333.

It is an arithmetic number, because the mean of its divisors is an integer number (37384704).

Almost surely, 22302283940 is an apocalyptic number.

2302283940 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 2302283940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588931584).

2302283940 is an abundant number, since it is smaller than the sum of its proper divisors (4875579228).

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

2302283940 is a wasteful number, since it uses less digits than its factorization.

2302283940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 2302283940 is about 47982.1210452393. The cubic root of 2302283940 is about 1320.4429069279.

The spelling of 2302283940 in words is "two billion, three hundred two million, two hundred eighty-three thousand, nine hundred forty".