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2330002200020 = 22511239160927541
BaseRepresentation
bin100001111001111110111…
…101000001010111010100
322020202010212012112221112
4201321332331001113110
5301133321030400040
64542215505234152
7330223424631335
oct41717675012724
98222125175845
102330002200020
1181916a554010
123176a1032958
1313b945048551
1480ab645028c
154091e59c365
hex21e7ef415d4

2330002200020 has 96 divisors (see below), whose sum is σ = 5363683315200. Its totient is φ = 843173452800.

The previous prime is 2330002200007. The next prime is 2330002200059. The reversal of 2330002200020 is 200022000332.

It is a junction number, because it is equal to n+sod(n) for n = 2330002199968 and 2330002200004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84587450 + ... + 84614990.

It is an arithmetic number, because the mean of its divisors is an integer number (55871701200).

Almost surely, 22330002200020 is an apocalyptic number.

2330002200020 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 2330002200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681841657600).

2330002200020 is an abundant number, since it is smaller than the sum of its proper divisors (3033681115180).

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

2330002200020 is a wasteful number, since it uses less digits than its factorization.

2330002200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29409 (or 29407 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 2330002200020 its reverse (200022000332), we get a palindrome (2530024200352).

The spelling of 2330002200020 in words is "two trillion, three hundred thirty billion, two million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 239 478 956 1195 1609 2390 2629 3218 4780 5258 6436 8045 10516 13145 16090 17699 26290 27541 32180 35398 52580 55082 70796 88495 110164 137705 176990 275410 302951 353980 384551 550820 605902 769102 1211804 1514755 1538204 1922755 3029510 3845510 4230061 6059020 6582299 7691020 8460122 13164598 16920244 21150305 26329196 32911495 42300610 44313469 65822990 72405289 84601220 88626938 131645980 144810578 177253876 221567345 289621156 362026445 443134690 487448159 724052890 886269380 974896318 1448105780 1949792636 2437240795 4874481590 9748963180 10590919091 21181838182 42363676364 52954595455 105909190910 116500110001 211818381820 233000220002 466000440004 582500550005 1165001100010 2330002200020