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2330252220 = 2235174155721
BaseRepresentation
bin1000101011100100…
…1101001110111100
320000101210002002210
42022321031032330
514233021032340
61023121220420
7111513550152
oct21271151674
96011702083
102330252220
11a96403a8a
12550491710
132b1a07b8a
141816a53d2
15d989a180
hex8ae4d3bc

2330252220 has 96 divisors (see below), whose sum is σ = 7077139776. Its totient is φ = 570572800.

The previous prime is 2330252189. The next prime is 2330252227. The reversal of 2330252220 is 222520332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330252227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13960 + ... + 69680.

It is an arithmetic number, because the mean of its divisors is an integer number (73720206).

Almost surely, 22330252220 is an apocalyptic number.

2330252220 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 2330252220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538569888).

2330252220 is an abundant number, since it is smaller than the sum of its proper divisors (4746887556).

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

2330252220 is a wasteful number, since it uses less digits than its factorization.

2330252220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55791 (or 55789 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 2330252220 is about 48272.6860657246. The cubic root of 2330252220 is about 1325.7683394656.

Adding to 2330252220 its reverse (222520332), we get a palindrome (2552772552).

The spelling of 2330252220 in words is "two billion, three hundred thirty million, two hundred fifty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 41 51 60 68 82 85 102 123 164 170 204 205 246 255 340 410 492 510 615 697 820 1020 1230 1394 2091 2460 2788 3485 4182 6970 8364 10455 13940 20910 41820 55721 111442 167163 222884 278605 334326 557210 668652 835815 947257 1114420 1671630 1894514 2284561 2841771 3343260 3789028 4569122 4736285 5683542 6853683 9138244 9472570 11367084 11422805 13707366 14208855 18945140 22845610 27414732 28417710 34268415 38837537 45691220 56835420 68536830 77675074 116512611 137073660 155350148 194187685 233025222 388375370 466050444 582563055 776750740 1165126110 2330252220