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2243445552 = 243328118481
BaseRepresentation
bin1000010110111000…
…0100001100110000
312210100102211202000
42011232010030300
514043310224202
61010340454000
7106410654405
oct20556041460
95710384660
102243445552
11a51403937
125273aa300
13299a3359a
14173d4a2ac
15d1e4e91c
hex85b84330

2243445552 has 80 divisors (see below), whose sum is σ = 6462785760. Its totient is φ = 745113600.

The previous prime is 2243445527. The next prime is 2243445557. The reversal of 2243445552 is 2555443422.

2243445552 is a `hidden beast` number, since 22 + 43 + 4 + 45 + 552 = 666.

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 (2243445557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112152 + ... + 130632.

It is an arithmetic number, because the mean of its divisors is an integer number (80784822).

Almost surely, 22243445552 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 2243445552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231392880).

2243445552 is an abundant number, since it is smaller than the sum of its proper divisors (4219340208).

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

2243445552 is a wasteful number, since it uses less digits than its factorization.

2243445552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18779 (or 18767 counting only the distinct ones).

The product of its digits is 192000, while the sum is 36.

The square root of 2243445552 is about 47365.0245645455. The cubic root of 2243445552 is about 1309.0970511707.

Adding to 2243445552 its reverse (2555443422), we get a palindrome (4798888974).

The spelling of 2243445552 in words is "two billion, two hundred forty-three million, four hundred forty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 281 432 562 843 1124 1686 2248 2529 3372 4496 5058 6744 7587 10116 13488 15174 18481 20232 30348 36962 40464 55443 60696 73924 110886 121392 147848 166329 221772 295696 332658 443544 498987 665316 887088 997974 1330632 1995948 2661264 3991896 5193161 7983792 10386322 15579483 20772644 31158966 41545288 46738449 62317932 83090576 93476898 124635864 140215347 186953796 249271728 280430694 373907592 560861388 747815184 1121722776 2243445552