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212042430 = 232510123327
BaseRepresentation
bin11001010001110…
…00001010111110
3112202222212112100
430220320022332
5413240324210
633012445530
75153221335
oct1450701276
9482885470
10212042430
11a9768686
125b0198a6
1334c126c2
1420238d1c
15139375c0
hexca382be

212042430 has 48 divisors (see below), whose sum is σ = 556792704. Its totient is φ = 55982400.

The previous prime is 212042419. The next prime is 212042437. The reversal of 212042430 is 34240212.

212042430 is a `hidden beast` number, since 212 + 0 + 424 + 30 = 666.

212042430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212042437) 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, 2574 + ... + 20753.

It is an arithmetic number, because the mean of its divisors is an integer number (11599848).

Almost surely, 2212042430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212042430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278396352).

212042430 is an abundant number, since it is smaller than the sum of its proper divisors (344750274).

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

212042430 is a wasteful number, since it uses less digits than its factorization.

212042430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23441 (or 23438 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 212042430 is about 14561.6767578463. The cubic root of 212042430 is about 596.3129727933.

Adding to 212042430 its reverse (34240212), we get a palindrome (246282642).

The spelling of 212042430 in words is "two hundred twelve million, forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 23327 46654 69981 116635 139962 209943 233270 349905 419886 699810 1049715 2099430 2356027 4712054 7068081 11780135 14136162 21204243 23560270 35340405 42408486 70680810 106021215 212042430