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2313302220 = 223355238191
BaseRepresentation
bin1000100111100010…
…0011000011001100
312222012212221002000
42021320203003030
514214201132340
61021314032300
7111216513225
oct21170430314
95865787060
102313302220
11a87887219
12546878690
132ab351aa8
1417d33224c
15d814cd30
hex89e230cc

2313302220 has 96 divisors (see below), whose sum is σ = 7211581440. Its totient is φ = 615625920.

The previous prime is 2313302171. The next prime is 2313302221. The reversal of 2313302220 is 222033132.

It is a happy number.

It is a super-2 number, since 2×23133022202 = 10702734322113856800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2313302193 and 2313302202.

It is not an unprimeable number, because it can be changed into a prime (2313302221) 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 31 ways as a sum of consecutive naturals, for example, 278325 + ... + 286515.

It is an arithmetic number, because the mean of its divisors is an integer number (75120640).

Almost surely, 22313302220 is an apocalyptic number.

2313302220 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 2313302220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605790720).

2313302220 is an abundant number, since it is smaller than the sum of its proper divisors (4898279220).

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

2313302220 is a wasteful number, since it uses less digits than its factorization.

2313302220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8732 (or 8724 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2313302220 is about 48096.8005172901. The cubic root of 2313302220 is about 1322.5460158397.

Adding to 2313302220 its reverse (222033132), we get a palindrome (2535335352).

The spelling of 2313302220 in words is "two billion, three hundred thirteen million, three hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 523 540 1046 1569 2092 2615 3138 4707 5230 6276 7845 8191 9414 10460 14121 15690 16382 18828 23535 24573 28242 31380 32764 40955 47070 49146 56484 70605 73719 81910 94140 98292 122865 141210 147438 163820 221157 245730 282420 294876 368595 442314 491460 737190 884628 1105785 1474380 2211570 4283893 4423140 8567786 12851679 17135572 21419465 25703358 38555037 42838930 51406716 64258395 77110074 85677860 115665111 128516790 154220148 192775185 231330222 257033580 385550370 462660444 578325555 771100740 1156651110 2313302220