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2300332230220 = 2251997379164663
BaseRepresentation
bin100001011110010110011…
…111000100011001001100
322010220120002220220220011
4201132112133010121030
5300142040022331340
64520431423003004
7325123243224553
oct41362637043114
98126502826804
102300332230220
11807624635612
123119a0739464
13138bc7166bbb
147d49db94d9a
153ec849150ea
hex217967c464c

2300332230220 has 96 divisors (see below), whose sum is σ = 5150953382400. Its totient is φ = 860436670464.

The previous prime is 2300332230181. The next prime is 2300332230253. The reversal of 2300332230220 is 220322330032.

It is a junction number, because it is equal to n+sod(n) for n = 2300332230191 and 2300332230200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13887609 + ... + 14052271.

It is an arithmetic number, because the mean of its divisors is an integer number (53655764400).

Almost surely, 22300332230220 is an apocalyptic number.

2300332230220 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 2300332230220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575476691200).

2300332230220 is an abundant number, since it is smaller than the sum of its proper divisors (2850621152180).

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

2300332230220 is a wasteful number, since it uses less digits than its factorization.

2300332230220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165167 (or 165165 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

Adding to 2300332230220 its reverse (220322330032), we get a palindrome (2520654560252).

The spelling of 2300332230220 in words is "two trillion, three hundred billion, three hundred thirty-two million, two hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 97 190 194 379 380 388 485 758 970 1516 1843 1895 1940 3686 3790 7201 7372 7580 9215 14402 18430 28804 36005 36763 36860 72010 73526 144020 147052 164663 183815 329326 367630 658652 698497 735260 823315 1396994 1646630 2793988 3128597 3293260 3492485 6257194 6984970 12514388 13969940 15642985 15972311 31285970 31944622 62407277 62571940 63889244 79861555 124814554 159723110 249629108 303473909 312036385 319446220 606947818 624072770 1185738263 1213895636 1248145540 1517369545 2371476526 3034739090 4742953052 5928691315 6053505869 6069478180 11857382630 12107011738 23714765260 24214023476 30267529345 60535058690 115016611511 121070117380 230033223022 460066446044 575083057555 1150166115110 2300332230220