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2275732032 = 26374613673
BaseRepresentation
bin1000011110100100…
…1110101001000000
312212121012011110120
42013221032221000
514130041411112
61013452500240
7110252255160
oct20751165100
95777164416
102275732032
11a68656182
1253617a680
132a3629202
141783525a0
15d4bcae8c
hex87a4ea40

2275732032 has 112 divisors (see below), whose sum is σ = 6898184832. Its totient is φ = 648622080.

The previous prime is 2275732031. The next prime is 2275732091. The reversal of 2275732032 is 2302375722.

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

It is a junction number, because it is equal to n+sod(n) for n = 2275731984 and 2275732002.

It is not an unprimeable number, because it can be changed into a prime (2275732031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 617748 + ... + 621420.

It is an arithmetic number, because the mean of its divisors is an integer number (61590936).

Almost surely, 22275732032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2275732032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449092416).

2275732032 is an abundant number, since it is smaller than the sum of its proper divisors (4622452800).

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

2275732032 is a wasteful number, since it uses less digits than its factorization.

2275732032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 33.

The square root of 2275732032 is about 47704.6332341000. The cubic root of 2275732032 is about 1315.3471076445.

The spelling of 2275732032 in words is "two billion, two hundred seventy-five million, seven hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 461 672 922 1344 1383 1844 2766 3227 3673 3688 5532 6454 7346 7376 9681 11019 11064 12908 14692 14752 19362 22038 22128 25711 25816 29384 29504 38724 44076 44256 51422 51632 58768 77133 77448 88152 88512 102844 103264 117536 154266 154896 176304 205688 206528 235072 308532 309792 352608 411376 617064 619584 705216 822752 1234128 1645504 1693253 2468256 3386506 4936512 5079759 6773012 10159518 11852771 13546024 20319036 23705542 27092048 35558313 40638072 47411084 54184096 71116626 81276144 94822168 108368192 142233252 162552288 189644336 284466504 325104576 379288672 568933008 758577344 1137866016 2275732032