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2245313700 = 2232527356399
BaseRepresentation
bin1000010111010100…
…1100010010100100
312210110221202100200
42011311030102210
514044300014300
61010444510500
7106432565040
oct20565142244
95713852320
102245313700
11a5246a463
12527b4b430
1329a2389b6
141742b5020
15d21bd200
hex85d4c4a4

2245313700 has 108 divisors (see below), whose sum is σ = 8043235200. Its totient is φ = 513213120.

The previous prime is 2245313699. The next prime is 2245313701. The reversal of 2245313700 is 73135422.

It is an interprime number because it is at equal distance from previous prime (2245313699) and next prime (2245313701).

It is a super-2 number, since 2×22453137002 = 10082867222815380000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2245313701) by changing a digit.

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, 171900 + ... + 184499.

It is an arithmetic number, because the mean of its divisors is an integer number (74474400).

Almost surely, 22245313700 is an apocalyptic number.

2245313700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2245313700 is an abundant number, since it is smaller than the sum of its proper divisors (5797921500).

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

2245313700 is a wasteful number, since it uses less digits than its factorization.

2245313700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356426 (or 356416 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2245313700 is about 47384.7412148679. The cubic root of 2245313700 is about 1309.4603180698.

The spelling of 2245313700 in words is "two billion, two hundred forty-five million, three hundred thirteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 356399 712798 1069197 1425596 1781995 2138394 2494793 3207591 3563990 4276788 4989586 5345985 6415182 7127980 7484379 8909975 9979172 10691970 12473965 12830364 14968758 16037955 17819950 21383940 22453137 24947930 26729925 29937516 32075910 35639900 37421895 44906274 49895860 53459850 62369825 64151820 74843790 80189775 89812548 106919700 112265685 124739650 149687580 160379550 187109475 224531370 249479300 320759100 374218950 449062740 561328425 748437900 1122656850 2245313700