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3332000220 = 2235375925439
BaseRepresentation
bin1100011010011010…
…0100100111011100
322121012202011000120
43012212210213130
523310443001340
61310344154540
7145366351233
oct30646444734
98535664016
103332000220
11145a91109a
1278ba68a50
13411407883
14238749b1a
151477c44d0
hexc69a49dc

3332000220 has 96 divisors (see below), whose sum is σ = 9744537600. Its totient is φ = 849832704.

The previous prime is 3332000219. The next prime is 3332000239. The reversal of 3332000220 is 220002333.

3332000220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33320002202 = 22204450932160096800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3332000220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118261 + ... + 143699.

It is an arithmetic number, because the mean of its divisors is an integer number (101505600).

Almost surely, 23332000220 is an apocalyptic number.

3332000220 is a gapful number since it is divisible by the number (30) 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 3332000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4872268800).

3332000220 is an abundant number, since it is smaller than the sum of its proper divisors (6412537380).

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

3332000220 is a wasteful number, since it uses less digits than its factorization.

3332000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25547 (or 25545 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 3332000220 is about 57723.4806642843. The cubic root of 3332000220 is about 1493.6024149515.

Adding to 3332000220 its reverse (220002333), we get a palindrome (3552002553).

The spelling of 3332000220 in words is "three billion, three hundred thirty-two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 59 60 74 111 118 148 177 185 222 236 295 354 370 444 555 590 708 740 885 1110 1180 1770 2183 2220 3540 4366 6549 8732 10915 13098 21830 25439 26196 32745 43660 50878 65490 76317 101756 127195 130980 152634 254390 305268 381585 508780 763170 941243 1500901 1526340 1882486 2823729 3001802 3764972 4502703 4706215 5647458 6003604 7504505 9005406 9412430 11294916 14118645 15009010 18010812 18824860 22513515 28237290 30018020 45027030 55533337 56474580 90054060 111066674 166600011 222133348 277666685 333200022 555333370 666400044 833000055 1110666740 1666000110 3332000220