Search a number
-
+
2212020201000 = 233532933676857
BaseRepresentation
bin100000001100000110101…
…011011010011000101000
321211110121111021000101010
4200030012223122120220
5242220204132413000
64412104341423520
7315545631322611
oct40140653323050
97743544230333
102212020201000
117831268109a5
122b885510aba0
13130791c6bacc
14790c312ac08
153c816862d50
hex20306ada628

2212020201000 has 256 divisors, whose sum is σ = 6944939688960. Its totient is φ = 586171545600.

The previous prime is 2212020200977. The next prime is 2212020201049. The reversal of 2212020201000 is 1020202122.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 322589572 + ... + 322596428.

It is an arithmetic number, because the mean of its divisors is an integer number (27128670660).

Almost surely, 22212020201000 is an apocalyptic number.

2212020201000 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 2212020201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472469844480).

2212020201000 is an abundant number, since it is smaller than the sum of its proper divisors (4732919487960).

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

2212020201000 is a wasteful number, since it uses less digits than its factorization.

2212020201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7541 (or 7527 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2212020201000 its reverse (1020202122), we get a palindrome (2213040403122).

The spelling of 2212020201000 in words is "two trillion, two hundred twelve billion, twenty million, two hundred one thousand".