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2335242100 = 2252193120997
BaseRepresentation
bin1000101100110000…
…1111011101110100
320000202011120221011
42023030033131310
514240310221400
61023420202004
7111604142002
oct21314173564
96022146834
102335242100
11a99201a54
12552099304
132b2a64179
14182203a72
15da0338ba
hex8b30f774

2335242100 has 36 divisors (see below), whose sum is σ = 5093773804. Its totient is φ = 929249280.

The previous prime is 2335242097. The next prime is 2335242163. The reversal of 2335242100 is 12425332.

It can be written as a sum of positive squares in 6 ways, for example, as 178382736 + 2156859364 = 13356^2 + 46442^2 .

It is a super-2 number, since 2×23352421002 = 10906711331224820000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41199 + ... + 79798.

Almost surely, 22335242100 is an apocalyptic number.

2335242100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2335242100 is an abundant number, since it is smaller than the sum of its proper divisors (2758531704).

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

2335242100 is a wasteful number, since it uses less digits than its factorization.

2335242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121204 (or 121197 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2335242100 is about 48324.3427270356. The cubic root of 2335242100 is about 1326.7139750925.

Adding to 2335242100 its reverse (12425332), we get a palindrome (2347667432).

It can be divided in two parts, 2335 and 242100, that multiplied together give a triangular number (565303500 = T33624).

The spelling of 2335242100 in words is "two billion, three hundred thirty-five million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 193 386 772 965 1930 3860 4825 9650 19300 120997 241994 483988 604985 1209970 2419940 3024925 6049850 12099700 23352421 46704842 93409684 116762105 233524210 467048420 583810525 1167621050 2335242100