Search a number
-
+
214054533 = 32711499619
BaseRepresentation
bin11001100001000…
…11011010000101
3112220210002121200
430300203122011
5414244221113
633123533113
75206301460
oct1460433205
9486702550
10214054533
11aa912380
125b82a199
13354684b4
14206002d7
1513bd3873
hexcc23685

214054533 has 48 divisors (see below), whose sum is σ = 386880000. Its totient is φ = 110795040.

The previous prime is 214054517. The next prime is 214054553. The reversal of 214054533 is 335450412.

It is not a de Polignac number, because 214054533 - 24 = 214054517 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 214054497 and 214054506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214054553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345498 + ... + 346116.

It is an arithmetic number, because the mean of its divisors is an integer number (8060000).

Almost surely, 2214054533 is an apocalyptic number.

It is an amenable number.

214054533 is a deficient number, since it is larger than the sum of its proper divisors (172825467).

214054533 is a wasteful number, since it uses less digits than its factorization.

214054533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 214054533 is about 14630.6026191678. The cubic root of 214054533 is about 598.1932062889.

The spelling of 214054533 in words is "two hundred fourteen million, fifty-four thousand, five hundred thirty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 499 619 693 1497 1857 3493 4333 4491 5489 5571 6809 10479 12999 16467 20427 31437 38423 38997 47663 49401 61281 115269 142989 308881 345807 428967 926643 2162167 2779929 3397691 6486501 10193073 19459503 23783837 30579219 71351511 214054533