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214233404 = 227112371709
BaseRepresentation
bin11001100010011…
…11000100111100
3112221010011222112
430301033010330
5414320432104
633131433152
75210645120
oct1461170474
9487104875
10214233404
11aaa24800
125b8b57b8
13354cba38
1420649580
1513c1b86e
hexcc4f13c

214233404 has 72 divisors (see below), whose sum is σ = 483971040. Its totient is φ = 81164160.

The previous prime is 214233391. The next prime is 214233407. The reversal of 214233404 is 404332412.

214233404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 214233404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214233407) 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, 124502 + ... + 126210.

It is an arithmetic number, because the mean of its divisors is an integer number (6721820).

Almost surely, 2214233404 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 214233404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241985520).

214233404 is an abundant number, since it is smaller than the sum of its proper divisors (269737636).

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

214233404 is a wasteful number, since it uses less digits than its factorization.

214233404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 214233404 is about 14636.7142487650. The cubic root of 214233404 is about 598.3597831969.

Adding to 214233404 its reverse (404332412), we get a palindrome (618565816).

The spelling of 214233404 in words is "two hundred fourteen million, two hundred thirty-three thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 28 37 44 74 77 121 148 154 242 259 308 407 484 518 814 847 1036 1628 1694 1709 2849 3388 3418 4477 5698 6836 8954 11396 11963 17908 18799 23926 31339 37598 47852 62678 63233 75196 125356 126466 131593 206789 252932 263186 413578 442631 526372 695563 827156 885262 1391126 1447523 1770524 2782252 2895046 4868941 5790092 7651193 9737882 15302386 19475764 30604772 53558351 107116702 214233404