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2313302200 = 2352112175623
BaseRepresentation
bin1000100111100010…
…0011000010111000
312222012212221001021
42021320203002320
514214201132300
61021314032224
7111216513166
oct21170430270
95865787037
102313302200
11a87887200
12546878674
132ab351a91
1417d332236
15d814cd1a
hex89e230b8

2313302200 has 144 divisors (see below), whose sum is σ = 6260693040. Its totient is φ = 791577600.

The previous prime is 2313302171. The next prime is 2313302221. The reversal of 2313302200 is 22033132.

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 35 ways as a sum of consecutive naturals, for example, 408589 + ... + 414211.

It is an arithmetic number, because the mean of its divisors is an integer number (43477035).

Almost surely, 22313302200 is an apocalyptic number.

2313302200 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 2313302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130346520).

2313302200 is an abundant number, since it is smaller than the sum of its proper divisors (3947390840).

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

2313302200 is a wasteful number, since it uses less digits than its factorization.

2313302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5678 (or 5658 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2313302200 is about 48096.8003093761. The cubic root of 2313302200 is about 1322.5460120283.

Adding to 2313302200 its reverse (22033132), we get a palindrome (2335335332).

The spelling of 2313302200 in words is "two billion, three hundred thirteen million, three hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 121 136 170 187 200 220 242 275 340 374 425 440 484 550 605 680 748 850 935 968 1100 1210 1496 1700 1870 2057 2200 2420 3025 3400 3740 4114 4675 4840 5623 6050 7480 8228 9350 10285 11246 12100 16456 18700 20570 22492 24200 28115 37400 41140 44984 51425 56230 61853 82280 95591 102850 112460 123706 140575 191182 205700 224920 247412 281150 309265 382364 411400 477955 494824 562300 618530 680383 764728 955910 1051501 1124600 1237060 1360766 1546325 1911820 2103002 2389775 2474120 2721532 3092650 3401915 3823640 4206004 4779550 5257505 5443064 6185300 6803830 8412008 9559100 10515010 11566511 12370600 13607660 17009575 19118200 21030020 23133022 26287525 27215320 34019150 42060040 46266044 52575050 57832555 68038300 92532088 105150100 115665110 136076600 210300200 231330220 289162775 462660440 578325550 1156651100 2313302200