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2228067744 = 25373315577
BaseRepresentation
bin1000010011001101…
…1001110110100000
312202021111120100120
42010303121312200
514030341131434
61005031120240
7106133156220
oct20463316640
95667446316
102228067744
11a43760301
12522213080
132967aaca6
14171ca6080
15d0913349
hex84cd9da0

2228067744 has 48 divisors (see below), whose sum is σ = 6684205248. Its totient is φ = 636590592.

The previous prime is 2228067713. The next prime is 2228067757. The reversal of 2228067744 is 4477608222.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2228067696 and 2228067705.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1657117 + ... + 1658460.

It is an arithmetic number, because the mean of its divisors is an integer number (139254276).

Almost surely, 22228067744 is an apocalyptic number.

2228067744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2228067744 is an abundant number, since it is smaller than the sum of its proper divisors (4456137504).

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

2228067744 is a wasteful number, since it uses less digits than its factorization.

2228067744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3315597 (or 3315589 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 2228067744 is about 47202.4124807197. The cubic root of 2228067744 is about 1306.0991007695.

The spelling of 2228067744 in words is "two billion, two hundred twenty-eight million, sixty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3315577 6631154 9946731 13262308 19893462 23209039 26524616 39786924 46418078 53049232 69627117 79573848 92836156 106098464 139254234 159147696 185672312 278508468 318295392 371344624 557016936 742689248 1114033872 2228067744