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2228040288 = 253253145967
BaseRepresentation
bin1000010011001101…
…0011001001100000
312202021110011200200
42010303103021200
514030334242123
61005030345200
7106133013165
oct20463231140
95667404620
102228040288
11a43741711
125221bb200
1329679b646
14171c9a06c
15d090a143
hex84cd3260

2228040288 has 72 divisors (see below), whose sum is σ = 6455580768. Its totient is φ = 728662272.

The previous prime is 2228040257. The next prime is 2228040319. The reversal of 2228040288 is 8820408222.

It is an interprime number because it is at equal distance from previous prime (2228040257) and next prime (2228040319).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×22280402882 = 9928327049902245888, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57720 + ... + 88247.

It is an arithmetic number, because the mean of its divisors is an integer number (89660844).

Almost surely, 22228040288 is an apocalyptic number.

It is an amenable number.

2228040288 is an abundant number, since it is smaller than the sum of its proper divisors (4227540480).

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

2228040288 is a wasteful number, since it uses less digits than its factorization.

2228040288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146036 (or 146025 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 2228040288 is about 47202.1216472311. The cubic root of 2228040288 is about 1306.0937358213.

The spelling of 2228040288 in words is "two billion, two hundred twenty-eight million, forty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 7632 15264 145967 291934 437901 583868 875802 1167736 1313703 1751604 2335472 2627406 3503208 4670944 5254812 7006416 7736251 10509624 14012832 15472502 21019248 23208753 30945004 42038496 46417506 61890008 69626259 92835012 123780016 139252518 185670024 247560032 278505036 371340048 557010072 742680096 1114020144 2228040288