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186225030 = 232510320089
BaseRepresentation
bin10110001100110…
…01000110000110
3110222102012201100
423012121012012
5340133200110
630251240530
74420613055
oct1306310606
9428365640
10186225030
1196134692
1252449146
132c773434
141aa3839c
1511537bc0
hexb199186

186225030 has 48 divisors (see below), whose sum is σ = 488910240. Its totient is φ = 49175424.

The previous prime is 186224989. The next prime is 186225031. The reversal of 186225030 is 30522681.

186225030 is a `hidden beast` number, since 1 + 8 + 622 + 5 + 0 + 30 = 666.

186225030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 186224985 and 186225003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (186225031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 775 + ... + 19314.

It is an arithmetic number, because the mean of its divisors is an integer number (10185630).

Almost surely, 2186225030 is an apocalyptic number.

186225030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 186225030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244455120).

186225030 is an abundant number, since it is smaller than the sum of its proper divisors (302685210).

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

186225030 is a wasteful number, since it uses less digits than its factorization.

186225030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20205 (or 20202 counting only the distinct ones).

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

The square root of 186225030 is about 13646.4292032751. The cubic root of 186225030 is about 571.0568573299.

The spelling of 186225030 in words is "one hundred eighty-six million, two hundred twenty-five thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 515 618 927 1030 1545 1854 3090 4635 9270 20089 40178 60267 100445 120534 180801 200890 301335 361602 602670 904005 1808010 2069167 4138334 6207501 10345835 12415002 18622503 20691670 31037505 37245006 62075010 93112515 186225030