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230032000220 = 225111955031579
BaseRepresentation
bin1101011000111011111…
…0011100010011011100
3210222202022210100220212
43112032332130103130
512232101143001340
6253401504031552
722422256511651
oct3261676342334
9728668710825
10230032000220
11896130814a0
12386b93025b8
13188cc2097c9
14b1c2899c28
155eb4cbea65
hex358ef9c4dc

230032000220 has 48 divisors (see below), whose sum is σ = 554718326400. Its totient is φ = 79245472320.

The previous prime is 230032000151. The next prime is 230032000223. The reversal of 230032000220 is 22000230032.

It is a super-2 number, since 2×2300320002202 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230032000195 and 230032000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230032000223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27511610 + ... + 27519969.

It is an arithmetic number, because the mean of its divisors is an integer number (11556631800).

Almost surely, 2230032000220 is an apocalyptic number.

230032000220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230032000220 is an abundant number, since it is smaller than the sum of its proper divisors (324686326180).

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

230032000220 is a wasteful number, since it uses less digits than its factorization.

230032000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55031618 (or 55031616 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 230032000220 its reverse (22000230032), we get a palindrome (252032230252).

The spelling of 230032000220 in words is "two hundred thirty billion, thirty-two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 55031579 110063158 220126316 275157895 550315790 605347369 1045600001 1100631580 1210694738 2091200002 2421389476 3026736845 4182400004 5228000005 6053473690 10456000010 11501600011 12106947380 20912000020 23003200022 46006400044 57508000055 115016000110 230032000220