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30189192 = 23311173661
BaseRepresentation
bin111001100101…
…0011010001000
32002210202210020
41303022122020
530212023232
62555020440
7514414065
oct163123210
962722706
1030189192
111604a650
12a13a720
136340137
14401bc6c
1529b4e2c
hex1cca688

30189192 has 64 divisors (see below), whose sum is σ = 82935360. Its totient is φ = 9081600.

The previous prime is 30189169. The next prime is 30189199. The reversal of 30189192 is 29198103.

It is a super-2 number, since 2×301891922 = 1822774627225728, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (30189199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45342 + ... + 46002.

It is an arithmetic number, because the mean of its divisors is an integer number (1295865).

Almost surely, 230189192 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 30189192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41467680).

30189192 is an abundant number, since it is smaller than the sum of its proper divisors (52746168).

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

30189192 is a wasteful number, since it uses less digits than its factorization.

30189192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 30189192 is about 5494.4692191330. The cubic root of 30189192 is about 311.3750640134.

It can be divided in two parts, 30189 and 192, that added together give a triangular number (30381 = T246).

The spelling of 30189192 in words is "thirty million, one hundred eighty-nine thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 173 264 346 519 661 692 1038 1322 1384 1903 1983 2076 2644 3806 3966 4152 5288 5709 7271 7612 7932 11418 14542 15224 15864 21813 22836 29084 43626 45672 58168 87252 114353 174504 228706 343059 457412 686118 914824 1257883 1372236 2515766 2744472 3773649 5031532 7547298 10063064 15094596 30189192