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2313253500 = 2235310115269
BaseRepresentation
bin1000100111100001…
…0111001001111100
312222012210110020120
42021320113021330
514214143103000
61021313014540
7111216221205
oct21170271174
95865713216
102313253500
11a87853658
12546854450
132ab33586c
1417d31c5ac
15d813d6a0
hex89e1727c

2313253500 has 96 divisors (see below), whose sum is σ = 6803334720. Its totient is φ = 610720000.

The previous prime is 2313253493. The next prime is 2313253507. The reversal of 2313253500 is 53523132.

It is a happy number.

2313253500 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2313253493) and next prime (2313253507).

It is a super-2 number, since 2×23132535002 = 10702283510524500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313253507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143866 + ... + 159134.

It is an arithmetic number, because the mean of its divisors is an integer number (70868070).

Almost surely, 22313253500 is an apocalyptic number.

2313253500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313253500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401667360).

2313253500 is an abundant number, since it is smaller than the sum of its proper divisors (4490081220).

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

2313253500 is a wasteful number, since it uses less digits than its factorization.

2313253500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15392 (or 15380 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 2313253500 is about 48096.2940360273. The cubic root of 2313253500 is about 1322.5367311480.

Adding to 2313253500 its reverse (53523132), we get a palindrome (2366776632).

The spelling of 2313253500 in words is "two billion, three hundred thirteen million, two hundred fifty-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 125 150 202 250 300 303 375 404 500 505 606 750 1010 1212 1500 1515 2020 2525 3030 5050 6060 7575 10100 12625 15150 15269 25250 30300 30538 37875 45807 50500 61076 75750 76345 91614 151500 152690 183228 229035 305380 381725 458070 763450 916140 1145175 1526900 1542169 1908625 2290350 3084338 3817250 4580700 4626507 5725875 6168676 7634500 7710845 9253014 11451750 15421690 18506028 22903500 23132535 30843380 38554225 46265070 77108450 92530140 115662675 154216900 192771125 231325350 385542250 462650700 578313375 771084500 1156626750 2313253500