Search a number
-
+
2242973880 = 23325717411277
BaseRepresentation
bin1000010110110001…
…0001000010111000
312210022112212201200
42011230101002320
514043200131010
61010322414200
7106403651310
oct20554210270
95708485650
102242973880
11a51111524
12527201360
132998c99a4
14173c66440
15d1da9cc0
hex85b110b8

2242973880 has 384 divisors, whose sum is σ = 9043332480. Its totient is φ = 470384640.

The previous prime is 2242973879. The next prime is 2242973881. The reversal of 2242973880 is 883792422.

It is an interprime number because it is at equal distance from previous prime (2242973879) and next prime (2242973881).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242973881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1755802 + ... + 1757078.

It is an arithmetic number, because the mean of its divisors is an integer number (23550345).

Almost surely, 22242973880 is an apocalyptic number.

2242973880 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 2242973880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521666240).

2242973880 is an abundant number, since it is smaller than the sum of its proper divisors (6800358600).

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

2242973880 is a wasteful number, since it uses less digits than its factorization.

2242973880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2242973880 is about 47360.0451857893. The cubic root of 2242973880 is about 1309.0053012726.

The spelling of 2242973880 in words is "two billion, two hundred forty-two million, nine hundred seventy-three thousand, eight hundred eighty".