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12220434 = 2323759311
BaseRepresentation
bin101110100111…
…100000010010
3211222212021200
4232213200102
511112023214
61113532030
7205605042
oct56474022
924885250
1012220434
116997436
124114016
1326bb435
1418a1722
151115d09
hexba7812

12220434 has 48 divisors (see below), whose sum is σ = 27743040. Its totient is φ = 3883680.

The previous prime is 12220427. The next prime is 12220441. The reversal of 12220434 is 43402221.

12220434 is a `hidden beast` number, since 12 + 220 + 434 = 666.

It is an interprime number because it is at equal distance from previous prime (12220427) and next prime (12220441).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 39139 + ... + 39449.

It is an arithmetic number, because the mean of its divisors is an integer number (577980).

Almost surely, 212220434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13871520).

12220434 is an abundant number, since it is smaller than the sum of its proper divisors (15522606).

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

12220434 is a wasteful number, since it uses less digits than its factorization.

12220434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 412 counting only the distinct ones).

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

The square root of 12220434 is about 3495.7737340966. The cubic root of 12220434 is about 230.3362064776.

Adding to 12220434 its reverse (43402221), we get a palindrome (55622655).

The spelling of 12220434 in words is "twelve million, two hundred twenty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 37 59 74 111 118 177 222 311 333 354 531 622 666 933 1062 1866 2183 2799 4366 5598 6549 11507 13098 18349 19647 23014 34521 36698 39294 55047 69042 103563 110094 165141 207126 330282 678913 1357826 2036739 4073478 6110217 12220434