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214031224 = 231117791811
BaseRepresentation
bin11001100000111…
…01101101111000
3112220201220122101
430300131231320
5414242444344
633123233144
75206143511
oct1460355570
9486656571
10214031224
11aa8a6910
125b8187b4
133545a9c4
14205d5a08
1513bcb9d4
hexcc1db78

214031224 has 64 divisors (see below), whose sum is σ = 469670400. Its totient is φ = 90355200.

The previous prime is 214031203. The next prime is 214031231. The reversal of 214031224 is 422130412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117279 + ... + 119089.

It is an arithmetic number, because the mean of its divisors is an integer number (7338600).

Almost surely, 2214031224 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 214031224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234835200).

214031224 is an abundant number, since it is smaller than the sum of its proper divisors (255639176).

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

214031224 is a wasteful number, since it uses less digits than its factorization.

214031224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 214031224 is about 14629.8060137515. The cubic root of 214031224 is about 598.1714925206.

Adding to 214031224 its reverse (422130412), we get a palindrome (636161636).

The spelling of 214031224 in words is "two hundred fourteen million, thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 79 88 136 158 187 316 374 632 748 869 1343 1496 1738 1811 2686 3476 3622 5372 6952 7244 10744 14488 14773 19921 29546 30787 39842 59092 61574 79684 118184 123148 143069 159368 246296 286138 338657 572276 677314 1144552 1354628 1573759 2432173 2709256 3147518 4864346 6295036 9728692 12590072 19457384 26753903 53507806 107015612 214031224