Search a number
-
+
2243557152 = 25327790129
BaseRepresentation
bin1000010110111001…
…1111011100100000
312210100122111211100
42011232133130200
514043322312102
61010343114400
7106411630644
oct20556373440
95710574740
102243557152
11a5147a771
12527442a00
13299a72315
14173d78c24
15d1e72a1c
hex85b9f720

2243557152 has 36 divisors (see below), whose sum is σ = 6380116470. Its totient is φ = 747852288.

The previous prime is 2243557117. The next prime is 2243557153. The reversal of 2243557152 is 2517553422.

2243557152 is a `hidden beast` number, since 2 + 2 + 4 + 35 + 571 + 52 = 666.

2243557152 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1345715856 + 897841296 = 36684^2 + 29964^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×22435571522 = 10067097388580702208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2243557153) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3894777 + ... + 3895352.

Almost surely, 22243557152 is an apocalyptic number.

It is an amenable number.

2243557152 is an abundant number, since it is smaller than the sum of its proper divisors (4136559318).

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

2243557152 is a wasteful number, since it uses less digits than its factorization.

2243557152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7790145 (or 7790134 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 2243557152 is about 47366.2026343679. The cubic root of 2243557152 is about 1309.1187577830.

The spelling of 2243557152 in words is "two billion, two hundred forty-three million, five hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7790129 15580258 23370387 31160516 46740774 62321032 70111161 93481548 124642064 140222322 186963096 249284128 280444644 373926192 560889288 747852384 1121778576 2243557152