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2332223040 = 26357347057
BaseRepresentation
bin1000101100000010…
…1110011001000000
320000112111012120010
42023000232121000
514234022114130
61023231344520
7111536366040
oct21300563100
96015435503
102332223040
11a9752a764
12551082140
132b2247c44
14181a59720
15d9b390b0
hex8b02e640

2332223040 has 112 divisors (see below), whose sum is σ = 8462662272. Its totient is φ = 533078016.

The previous prime is 2332223027. The next prime is 2332223057. The reversal of 2332223040 is 403222332.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2332222998 and 2332223016.

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 15 ways as a sum of consecutive naturals, for example, 166809 + ... + 180248.

Almost surely, 22332223040 is an apocalyptic number.

2332223040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2332223040 is an abundant number, since it is smaller than the sum of its proper divisors (6130439232).

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

2332223040 is a wasteful number, since it uses less digits than its factorization.

2332223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347084 (or 347074 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 2332223040 is about 48293.0951586249. The cubic root of 2332223040 is about 1326.1419920789.

Adding to 2332223040 its reverse (403222332), we get a palindrome (2735445372).

The spelling of 2332223040 in words is "two billion, three hundred thirty-two million, two hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 347057 694114 1041171 1388228 1735285 2082342 2429399 2776456 3470570 4164684 4858798 5205855 5552912 6941140 7288197 8329368 9717596 10411710 11105824 12146995 13882280 14576394 16658736 19435192 20823420 22211648 24293990 27764560 29152788 33317472 36440985 38870384 41646840 48587980 55529120 58305576 66634944 72881970 77740768 83293680 97175960 111058240 116611152 145763940 155481536 166587360 194351920 233222304 291527880 333174720 388703840 466444608 583055760 777407680 1166111520 2332223040