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2104278228 = 22321319323297
BaseRepresentation
bin111110101101100…
…1011110011010100
312102122120102001200
41331123023303110
513302143400403
6544445552500
7103101032643
oct17533136324
95378512050
102104278228
1198a8a0418
124a8875730
13276c58260
1415d68135a
15c4b0eca3
hex7d6cbcd4

2104278228 has 72 divisors (see below), whose sum is σ = 5758240488. Its totient is φ = 644087808.

The previous prime is 2104278223. The next prime is 2104278263. The reversal of 2104278228 is 8228724012.

2104278228 is a `hidden beast` number, since 2 + 1 + 0 + 427 + 8 + 228 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58706244 + 2045571984 = 7662^2 + 45228^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2104278192 and 2104278201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104278223) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 78676 + ... + 101972.

Almost surely, 22104278228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104278228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879120244).

2104278228 is an abundant number, since it is smaller than the sum of its proper divisors (3653962260).

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

2104278228 is a wasteful number, since it uses less digits than its factorization.

2104278228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23513 (or 23508 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2104278228 is about 45872.4124937854. The cubic root of 2104278228 is about 1281.4481956875.

The spelling of 2104278228 in words is "two billion, one hundred four million, two hundred seventy-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 193 234 386 468 579 772 1158 1737 2316 2509 3474 5018 6948 7527 10036 15054 22581 23297 30108 45162 46594 69891 90324 93188 139782 209673 279564 302861 419346 605722 838692 908583 1211444 1817166 2725749 3634332 4496321 5451498 8992642 10902996 13488963 17985284 26977926 40466889 53955852 58452173 80933778 116904346 161867556 175356519 233808692 350713038 526069557 701426076 1052139114 2104278228