Search a number
-
+
3138212250 = 2325311812
BaseRepresentation
bin1011101100001101…
…0101000110011010
322002201002200220100
42323003111012122
522411340243000
61235222440230
7140524235565
oct27303250632
98081080810
103138212250
111370491348
12736b93076
133b0216c34
1421ab034dc
15135795a00
hexbb0d519a

3138212250 has 72 divisors (see below), whose sum is σ = 8492917212. Its totient is φ = 836148000.

The previous prime is 3138212227. The next prime is 3138212279. The reversal of 3138212250 is 522128313.

3138212250 is a `hidden beast` number, since 31 + 382 + 1 + 2 + 250 = 666.

3138212250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1220035041 + 1918177209 = 34929^2 + 43797^2 .

It is a super-2 number, since 2×31382122502 = 19696752252100125000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2656660 + ... + 2657840.

Almost surely, 23138212250 is an apocalyptic number.

3138212250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3138212250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246458606).

3138212250 is an abundant number, since it is smaller than the sum of its proper divisors (5354704962).

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

3138212250 is an equidigital number, since it uses as much as digits as its factorization.

3138212250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3138212250 is about 56019.7487498828. The cubic root of 3138212250 is about 1464.0663909917.

The spelling of 3138212250 in words is "three billion, one hundred thirty-eight million, two hundred twelve thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 750 1125 1181 2250 2362 3543 5905 7086 10629 11810 17715 21258 29525 35430 53145 59050 88575 106290 147625 177150 265725 295250 442875 531450 885750 1328625 1394761 2657250 2789522 4184283 6973805 8368566 12552849 13947610 20921415 25105698 34869025 41842830 62764245 69738050 104607075 125528490 174345125 209214150 313821225 348690250 523035375 627642450 1046070750 1569106125 3138212250