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2313022200 = 2335231712161
BaseRepresentation
bin1000100111011101…
…1110101011111000
312222012100200221220
42021313132223320
514214113202300
61021304032040
7111214235646
oct21167365370
95865320856
102313022200
11a877058a5
12546762620
132ab2844b8
1417d29c196
15d80e4da0
hex89ddeaf8

2313022200 has 96 divisors (see below), whose sum is σ = 7193579760. Its totient is φ = 614809600.

The previous prime is 2313022177. The next prime is 2313022207. The reversal of 2313022200 is 22203132.

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 2313022200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313022207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184120 + ... + 196280.

Almost surely, 22313022200 is an apocalyptic number.

2313022200 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 2313022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3596789880).

2313022200 is an abundant number, since it is smaller than the sum of its proper divisors (4880557560).

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

2313022200 is a wasteful number, since it uses less digits than its factorization.

2313022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12497 (or 12488 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2313022200 is about 48093.8894247492. The cubic root of 2313022200 is about 1322.4926499521.

Adding to 2313022200 its reverse (22203132), we get a palindrome (2335225332).

The spelling of 2313022200 in words is "two billion, three hundred thirteen million, twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 317 600 634 951 1268 1585 1902 2536 3170 3804 4755 6340 7608 7925 9510 12161 12680 15850 19020 23775 24322 31700 36483 38040 47550 48644 60805 63400 72966 95100 97288 121610 145932 182415 190200 243220 291864 304025 364830 486440 608050 729660 912075 1216100 1459320 1824150 2432200 3648300 3855037 7296600 7710074 11565111 15420148 19275185 23130222 30840296 38550370 46260444 57825555 77100740 92520888 96375925 115651110 154201480 192751850 231302220 289127775 385503700 462604440 578255550 771007400 1156511100 2313022200