Search a number
-
+
22321212210 = 23251141796961
BaseRepresentation
bin10100110010011100…
…101010101100110010
32010121121022001210100
4110302130222230302
5331203212242320
614130525013230
71420066113303
oct246234525462
963547261710
1022321212210
119514819120
1243ab3b4216
132149568b9b
14111a6b67aa
158a992c790
hex53272ab32

22321212210 has 192 divisors, whose sum is σ = 65685634560. Its totient is φ = 5211648000.

The previous prime is 22321212209. The next prime is 22321212233. The reversal of 22321212210 is 1221212322.

22321212210 is a `hidden beast` number, since 223 + 21 + 212 + 210 = 666.

It is a super-3 number, since 3×223212122103 (a number of 32 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3203130 + ... + 3210090.

It is an arithmetic number, because the mean of its divisors is an integer number (342112680).

Almost surely, 222321212210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22321212210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32842817280).

22321212210 is an abundant number, since it is smaller than the sum of its proper divisors (43364422350).

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

22321212210 is a wasteful number, since it uses less digits than its factorization.

22321212210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7105 (or 7102 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22321212210 its reverse (1221212322), we get a palindrome (23542424532).

The spelling of 22321212210 in words is "twenty-two billion, three hundred twenty-one million, two hundred twelve thousand, two hundred ten".