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230023201333320 = 23335212984445679
BaseRepresentation
bin110100010011010001110011…
…001101001010000001001000
31010011110000002101201200001000
4310103101303031022001020
5220122200004020131240
62133115111101455000
766310425235053153
oct6423216315120110
91104400071650030
10230023201333320
116732432350753a
1221970054871460
139b471303c0415
1440b327a50ac9a
151b8d670b97430
hexd1347334a048

230023201333320 has 64 divisors (see below), whose sum is σ = 766744004448000. Its totient is φ = 61339520355264.

The previous prime is 230023201333291. The next prime is 230023201333361. The reversal of 230023201333320 is 23333102320032.

230023201333320 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 2 + 3 + 2 + 0 + 1 + 333 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106492221760 + ... + 106492223919.

It is an arithmetic number, because the mean of its divisors is an integer number (11980375069500).

Almost surely, 2230023201333320 is an apocalyptic number.

230023201333320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230023201333320 is an abundant number, since it is smaller than the sum of its proper divisors (536720803114680).

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

230023201333320 is a wasteful number, since it uses less digits than its factorization.

230023201333320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212984445699 (or 212984445689 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 230023201333320 its reverse (23333102320032), we get a palindrome (253356303653352).

The spelling of 230023201333320 in words is "two hundred thirty trillion, twenty-three billion, two hundred one million, three hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 212984445679 425968891358 638953337037 851937782716 1064922228395 1277906674074 1703875565432 1916860011111 2129844456790 2555813348148 3194766685185 3833720022222 4259688913580 5111626696296 5750580033333 6389533370370 7667440044444 8519377827160 9584300055555 11501160066666 12779066740740 15334880088888 19168600111110 23002320133332 25558133481480 28752900166665 38337200222220 46004640266664 57505800333330 76674400444440 115011600666660 230023201333320