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2330005200 = 243521941671
BaseRepresentation
bin1000101011100001…
…0000111011010000
320000101022112020220
42022320100323100
514232440131300
61023112033040
7111511501035
oct21270207320
96011275226
102330005200
11a96255436
12550392780
132b194c603
1418163d38c
15d984bda0
hex8ae10ed0

2330005200 has 60 divisors (see below), whose sum is σ = 7463787168. Its totient is φ = 621334400.

The previous prime is 2330005177. The next prime is 2330005211. The reversal of 2330005200 is 25000332.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2330005200.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 969636 + ... + 972035.

Almost surely, 22330005200 is an apocalyptic number.

2330005200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2330005200 is an abundant number, since it is smaller than the sum of its proper divisors (5133781968).

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

2330005200 is a wasteful number, since it uses less digits than its factorization.

2330005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941692 (or 1941681 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 2330005200 is about 48270.1274081600. The cubic root of 2330005200 is about 1325.7214914799.

Adding to 2330005200 its reverse (25000332), we get a palindrome (2355005532).

The spelling of 2330005200 in words is "two billion, three hundred thirty million, five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1941671 3883342 5825013 7766684 9708355 11650026 15533368 19416710 23300052 29125065 31066736 38833420 46600104 48541775 58250130 77666840 93200208 97083550 116500260 145625325 155333680 194167100 233000520 291250650 388334200 466001040 582501300 776668400 1165002600 2330005200