Search a number
-
+
210222324 = 223313149731
BaseRepresentation
bin11001000011110…
…11110011110100
3112122120101211000
430201323303310
5412304103244
632505443300
75131601034
oct1441736364
9478511730
10210222324
11a8735164
125a4a0530
1334726110
141dcc38c4
15136c8169
hexc87bcf4

210222324 has 48 divisors (see below), whose sum is σ = 586949440. Its totient is φ = 64683360.

The previous prime is 210222307. The next prime is 210222343. The reversal of 210222324 is 423222012.

It is a super-3 number, since 3×2102223243 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 210222297 and 210222306.

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, 73462 + ... + 76269.

Almost surely, 2210222324 is an apocalyptic number.

It is an amenable number.

210222324 is an abundant number, since it is smaller than the sum of its proper divisors (376727116).

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

210222324 is a wasteful number, since it uses less digits than its factorization.

210222324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149757 (or 149749 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 210222324 is about 14499.0456237643. The cubic root of 210222324 is about 594.6018794724.

Adding to 210222324 its reverse (423222012), we get a palindrome (633444336).

The spelling of 210222324 in words is "two hundred ten million, two hundred twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 149731 299462 449193 598924 898386 1347579 1796772 1946503 2695158 3893006 4042737 5390316 5839509 7786012 8085474 11679018 16170948 17518527 23358036 35037054 52555581 70074108 105111162 210222324