Search a number
-
+
2202321013332 = 22311294051142019
BaseRepresentation
bin100000000011000100100…
…011111100101001010100
321210112120112112020012020
4200003010203330221110
5242040323134411312
64403422102253140
7315053365512546
oct40030443745124
97715515466166
102202321013332
11779aa9885720
122b69a8a271b0
1312c8a76a50cb
1478842d0d696
153c44a0c478c
hex200c48fca54

2202321013332 has 96 divisors (see below), whose sum is σ = 5800687603200. Its totient is φ = 644193648000.

The previous prime is 2202321013331. The next prime is 2202321013337. The reversal of 2202321013332 is 2333101232022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202321013331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15436219 + ... + 15578237.

It is an arithmetic number, because the mean of its divisors is an integer number (60423829200).

Almost surely, 22202321013332 is an apocalyptic number.

2202321013332 is a gapful number since it is divisible by the number (22) 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 2202321013332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900343801600).

2202321013332 is an abundant number, since it is smaller than the sum of its proper divisors (3598366589868).

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

2202321013332 is a wasteful number, since it uses less digits than its factorization.

2202321013332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146117 (or 146115 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2202321013332 its reverse (2333101232022), we get a palindrome (4535422245354).

The spelling of 2202321013332 in words is "two trillion, two hundred two billion, three hundred twenty-one million, thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 4051 8102 12153 16204 24306 44561 48612 89122 117479 133683 142019 178244 234958 267366 284038 352437 426057 469916 534732 568076 704874 852114 1292269 1409748 1562209 1704228 2584538 3124418 3876807 4118551 4686627 5169076 6248836 7753614 8237102 9373254 12355653 15507228 16474204 18746508 24711306 45304061 49422612 90608122 135912183 181216244 271824366 543648732 575318969 1150637938 1725956907 2301275876 3451913814 6328508659 6903827628 12657017318 16684250101 18985525977 25314034636 33368500202 37971051954 50052750303 66737000404 75942103908 100105500606 183526751111 200211001212 367053502222 550580253333 734107004444 1101160506666 2202321013332