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2283213440 = 27516572153
BaseRepresentation
bin1000100000010111…
…0001001010000000
312220010021021000202
42020011301022000
514134000312230
61014321104332
7110402664644
oct21005611200
95803237022
102283213440
11a718a6062
125387880a8
132a5048591
1417933cc24
15d56a7a45
hex88171280

2283213440 has 64 divisors (see below), whose sum is σ = 5464137960. Its totient is φ = 912310272.

The previous prime is 2283213431. The next prime is 2283213497. The reversal of 2283213440 is 443123822.

It can be written as a sum of positive squares in 4 ways, for example, as 1081620544 + 1201592896 = 32888^2 + 34664^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×22832134402 = 10426127225193267200, which contains 22 as substring.

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, 1059404 + ... + 1061556.

Almost surely, 22283213440 is an apocalyptic number.

2283213440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2283213440 is an abundant number, since it is smaller than the sum of its proper divisors (3180924520).

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

2283213440 is a wasteful number, since it uses less digits than its factorization.

2283213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 2283213440 is about 47782.9827449062. The cubic root of 2283213440 is about 1316.7869204557.

The spelling of 2283213440 in words is "two billion, two hundred eighty-three million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1657 2153 3314 4306 6628 8285 8612 10765 13256 16570 17224 21530 26512 33140 34448 43060 53024 66280 68896 86120 106048 132560 137792 172240 212096 265120 275584 344480 530240 688960 1060480 1377920 3567521 7135042 14270084 17837605 28540168 35675210 57080336 71350420 114160672 142700840 228321344 285401680 456642688 570803360 1141606720 2283213440