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2225002284 = 223519911503
BaseRepresentation
bin1000010010011110…
…1101011100101100
312202001201211100000
42010213231130230
514024100033114
61004441304300
7106065131061
oct20447553454
95661654300
102225002284
11a41a5716a
12521195090
13295c768cb
14171708c68
15d0509e09
hex849ed72c

2225002284 has 72 divisors (see below), whose sum is σ = 5862438400. Its totient is φ = 737876304.

The previous prime is 2225002271. The next prime is 2225002291. The reversal of 2225002284 is 4822005222.

2225002284 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 is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187677 + ... + 199179.

Almost surely, 22225002284 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 2225002284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931219200).

2225002284 is an abundant number, since it is smaller than the sum of its proper divisors (3637436116).

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

2225002284 is a wasteful number, since it uses less digits than its factorization.

2225002284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11721 (or 11707 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2225002284 is about 47169.9298706284. The cubic root of 2225002284 is about 1305.4998323144.

The spelling of 2225002284 in words is "two billion, two hundred twenty-five million, two thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 199 243 324 398 486 597 796 972 1194 1791 2388 3582 5373 7164 10746 11503 16119 21492 23006 32238 34509 46012 48357 64476 69018 96714 103527 138036 193428 207054 310581 414108 621162 931743 1242324 1863486 2289097 2795229 3726972 4578194 5590458 6867291 9156388 11180916 13734582 20601873 27469164 41203746 61805619 82407492 123611238 185416857 247222476 370833714 556250571 741667428 1112501142 2225002284