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214373952 = 2634133181
BaseRepresentation
bin11001100011100…
…01011001000000
3112221101022210000
430301301121000
5414334431302
633134440000
75212101642
oct1461613100
9487338700
10214373952
11100010361
125b963000
133554a9c0
1420684892
1513c4831c
hexcc71640

214373952 has 140 divisors (see below), whose sum is σ = 684569116. Its totient is φ = 65940480.

The previous prime is 214373933. The next prime is 214373969. The reversal of 214373952 is 259373412.

214373952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 23270976 + 191102976 = 4824^2 + 13824^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 65802 + ... + 68982.

Almost surely, 2214373952 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 214373952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342284558).

214373952 is an abundant number, since it is smaller than the sum of its proper divisors (470195164).

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

214373952 is a wasteful number, since it uses less digits than its factorization.

214373952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218 (or 3199 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 214373952 is about 14641.5146757431. The cubic root of 214373952 is about 598.4906060673.

The spelling of 214373952 in words is "two hundred fourteen million, three hundred seventy-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3181 3744 4212 5184 5616 6362 7488 8424 9543 11232 12724 16848 19086 22464 25448 28629 33696 38172 41353 50896 57258 67392 76344 82706 85887 101792 114516 124059 152688 165412 171774 203584 229032 248118 257661 305376 330824 343548 372177 458064 496236 515322 610752 661648 687096 744354 916128 992472 1030644 1116531 1323296 1374192 1488708 1832256 1984944 2061288 2233062 2646592 2748384 2977416 3349593 3969888 4122576 4466124 5496768 5954832 6699186 7939776 8245152 8932248 11909664 13398372 16490304 17864496 23819328 26796744 35728992 53593488 71457984 107186976 214373952