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4082220212532 = 2237114417987243
BaseRepresentation
bin111011011001110111010…
…010010010000100110100
3112110020220221112020221220
4323121313102102010310
51013340341333300112
612403202430310340
7600634136166420
oct73316722220464
915406827466856
104082220212532
111334294983240
1255b1b33583b0
13237c4abbac77
1410181acd7b80
15712c433998c
hex3b677492134

4082220212532 has 48 divisors (see below), whose sum is σ = 11875549711872. Its totient is φ = 1060316938080.

The previous prime is 4082220212531. The next prime is 4082220212579. The reversal of 4082220212532 is 2352120222804.

It is a happy number.

4082220212532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4082220212493 and 4082220212502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4082220212531) 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, 2208992698 + ... + 2208994545.

It is an arithmetic number, because the mean of its divisors is an integer number (247407285664).

Almost surely, 24082220212532 is an apocalyptic number.

4082220212532 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4082220212532 is an abundant number, since it is smaller than the sum of its proper divisors (7793329499340).

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

4082220212532 is a wasteful number, since it uses less digits than its factorization.

4082220212532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4417987268 (or 4417987266 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 4082220212532 in words is "four trillion, eighty-two billion, two hundred twenty million, two hundred twelve thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 4417987243 8835974486 13253961729 17671948972 26507923458 30925910701 48597859673 53015846916 61851821402 92777732103 97195719346 123703642804 145793579019 185555464206 194391438692 291587158038 340185017711 371110928412 583174316076 680370035422 1020555053133 1360740070844 2041110106266 4082220212532