Search a number
-
+
2212021021200 = 2435217122388661
BaseRepresentation
bin100000001100000110101…
…110100010101000010000
321211110121112210200110220
4200030012232202220100
5242220204340134300
64412104411153040
7315545641310064
oct40140656425020
97743545720426
102212021021200
11783127221151
122b8855445780
13130792198233
14790c32a1aa4
153c816975da0
hex20306ba2a10

2212021021200 has 240 divisors, whose sum is σ = 7508874151296. Its totient is φ = 554713702400.

The previous prime is 2212021021193. The next prime is 2212021021229. The reversal of 2212021021200 is 21201202122.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2212021021200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24904870 + ... + 24993530.

Almost surely, 22212021021200 is an apocalyptic number.

2212021021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212021021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3754437075648).

2212021021200 is an abundant number, since it is smaller than the sum of its proper divisors (5296853130096).

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

2212021021200 is a wasteful number, since it uses less digits than its factorization.

2212021021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89922 (or 89911 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2212021021200 its reverse (21201202122), we get a palindrome (2233222223322).

The spelling of 2212021021200 in words is "two trillion, two hundred twelve billion, twenty-one million, twenty-one thousand, two hundred".