Search a number
-
+
214218990 = 23253176781
BaseRepresentation
bin11001100010010…
…11100011101110
3112221002110012200
430301023203232
5414320001430
633131242330
75210555106
oct1461134356
9487073180
10214218990
11aaa14997
125b8a93a6
13354c52cb
1420644206
1513c17460
hexcc4b8ee

214218990 has 48 divisors (see below), whose sum is σ = 574943616. Its totient is φ = 55281600.

The previous prime is 214218947. The next prime is 214219013. The reversal of 214218990 is 99812412.

214218990 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35601 + ... + 41180.

It is an arithmetic number, because the mean of its divisors is an integer number (11977992).

Almost surely, 2214218990 is an apocalyptic number.

214218990 is an abundant number, since it is smaller than the sum of its proper divisors (360724626).

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

214218990 is a wasteful number, since it uses less digits than its factorization.

214218990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76825 (or 76822 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 214218990 is about 14636.2218485509. The cubic root of 214218990 is about 598.3463633299.

The spelling of 214218990 in words is "two hundred fourteen million, two hundred eighteen thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 76781 153562 230343 383905 460686 691029 767810 1151715 1382058 2303430 2380211 3455145 4760422 6910290 7140633 11901055 14281266 21421899 23802110 35703165 42843798 71406330 107109495 214218990