Search a number
-
+
32212000212 = 223729431811699
BaseRepresentation
bin11101111111111111…
…000001110111010100
310002010220120011012220
4131333333001313110
51011432233001322
622444210542340
72220146325030
oct357777016724
9102126504186
1032212000212
111272a91a587
1262ab8979b0
133064738872
1417b812b1c0
15c87e1655c
hex77ffc1dd4

32212000212 has 192 divisors, whose sum is σ = 91483392000. Its totient is φ = 8626383360.

The previous prime is 32212000159. The next prime is 32212000253. The reversal of 32212000212 is 21200021223.

It is a happy number.

It is a super-2 number, since 2×322120002122 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32212000191 and 32212000200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18958539 + ... + 18960237.

It is an arithmetic number, because the mean of its divisors is an integer number (476476000).

Almost surely, 232212000212 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 32212000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45741696000).

32212000212 is an abundant number, since it is smaller than the sum of its proper divisors (59271391788).

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

32212000212 is a wasteful number, since it uses less digits than its factorization.

32212000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 32212000212 its reverse (21200021223), we get a palindrome (53412021435).

The spelling of 32212000212 in words is "thirty-two billion, two hundred twelve million, two hundred twelve", and thus it is an aban number.