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2263630368 = 253107220369
BaseRepresentation
bin1000011011101100…
…0100001000100000
312211202102100002210
42012323010020200
514113442132433
61012341242120
7110044353306
oct20673041040
95752370083
102263630368
11a6183aaaa
12532103340
132a0c7cb6c
141768c2276
15d3ada463
hex86ec4220

2263630368 has 48 divisors (see below), whose sum is σ = 5997589920. Its totient is φ = 747488256.

The previous prime is 2263630349. The next prime is 2263630387. The reversal of 2263630368 is 8630363622.

It is an interprime number because it is at equal distance from previous prime (2263630349) and next prime (2263630387).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99913 + ... + 120456.

It is an arithmetic number, because the mean of its divisors is an integer number (124949790).

Almost surely, 22263630368 is an apocalyptic number.

It is an amenable number.

2263630368 is an abundant number, since it is smaller than the sum of its proper divisors (3733959552).

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

2263630368 is a wasteful number, since it uses less digits than its factorization.

2263630368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220489 (or 220481 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The square root of 2263630368 is about 47577.6246569750. The cubic root of 2263630368 is about 1313.0114214131.

The spelling of 2263630368 in words is "two billion, two hundred sixty-three million, six hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2568 3424 5136 10272 220369 440738 661107 881476 1322214 1762952 2644428 3525904 5288856 7051808 10577712 21155424 23579483 47158966 70738449 94317932 141476898 188635864 282953796 377271728 565907592 754543456 1131815184 2263630368