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2263269408 = 253101233423
BaseRepresentation
bin1000011011100110…
…1100000000100000
312211201201222221220
42012321230000200
514113344110113
61012325415040
7110041321041
oct20671540040
95751658856
102263269408
11a61613894
12531b6a480
132a0b8478a
1417682a8c8
15d3a68523
hex86e6c020

2263269408 has 48 divisors (see below), whose sum is σ = 5999930496. Its totient is φ = 746950400.

The previous prime is 2263269403. The next prime is 2263269409. The reversal of 2263269408 is 8049623622.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2263269408.

It is not an unprimeable number, because it can be changed into a prime (2263269403) by changing a digit.

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, 107016 + ... + 126407.

It is an arithmetic number, because the mean of its divisors is an integer number (124998552).

Almost surely, 22263269408 is an apocalyptic number.

It is an amenable number.

2263269408 is an abundant number, since it is smaller than the sum of its proper divisors (3736661088).

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

2263269408 is a wasteful number, since it uses less digits than its factorization.

2263269408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233537 (or 233529 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 2263269408 is about 47573.8311259457. The cubic root of 2263269408 is about 1312.9416264790.

The spelling of 2263269408 in words is "two billion, two hundred sixty-three million, two hundred sixty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 3232 4848 9696 233423 466846 700269 933692 1400538 1867384 2801076 3734768 5602152 7469536 11204304 22408608 23575723 47151446 70727169 94302892 141454338 188605784 282908676 377211568 565817352 754423136 1131634704 2263269408