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3202412000220 = 223451976797531
BaseRepresentation
bin101110100110011110101…
…000010011001111011100
3102100010222121011021020000
4232212132220103033130
5404432014433001340
610451100123054300
7450236516604516
oct56463650231734
912303877137200
103202412000220
1110251540a6394
12438795371390
131a2ca8779b34
14b0dd747cbb6
155847e80ed30
hex2e99ea133dc

3202412000220 has 60 divisors (see below), whose sum is σ = 10046085057624. Its totient is φ = 853976532960.

The previous prime is 3202412000189. The next prime is 3202412000231. The reversal of 3202412000220 is 220002142023.

3202412000220 is a `hidden beast` number, since 3 + 2 + 0 + 241 + 200 + 0 + 220 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×32024120002202 (a number of 26 digits) 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 = 3202412000193 and 3202412000202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 988397146 + ... + 988400385.

Almost surely, 23202412000220 is an apocalyptic number.

3202412000220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3202412000220 is an abundant number, since it is smaller than the sum of its proper divisors (6843673057404).

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

3202412000220 is a wasteful number, since it uses less digits than its factorization.

3202412000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976797552 (or 1976797541 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 3202412000220 its reverse (220002142023), we get a palindrome (3422414142243).

The spelling of 3202412000220 in words is "three trillion, two hundred two billion, four hundred twelve million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 1976797531 3953595062 5930392593 7907190124 9883987655 11860785186 17791177779 19767975310 23721570372 29651962965 35582355558 39535950620 53373533337 59303925930 71164711116 88955888895 106747066674 118607851860 160120600011 177911777790 213494133348 266867666685 320241200022 355823555580 533735333370 640482400044 800603000055 1067470666740 1601206000110 3202412000220