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2233420002 = 2321141926921
BaseRepresentation
bin1000010100011111…
…0100100011100010
312202122120111021100
42011013310203202
514033223420002
61005341535230
7106226520402
oct20507644342
95678514240
102233420002
11a46786560
12523b74516
132979331c8
1417289a802
15d111e11c
hex851f48e2

2233420002 has 48 divisors (see below), whose sum is σ = 5291788320. Its totient is φ = 675153600.

The previous prime is 2233420001. The next prime is 2233420031. The reversal of 2233420002 is 2000243322.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2233420001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69502 + ... + 96422.

It is an arithmetic number, because the mean of its divisors is an integer number (110245590).

Almost surely, 22233420002 is an apocalyptic number.

2233420002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2233420002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645894160).

2233420002 is an abundant number, since it is smaller than the sum of its proper divisors (3058368318).

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

2233420002 is a wasteful number, since it uses less digits than its factorization.

2233420002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27359 (or 27356 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2233420002 is about 47259.0732240911. The cubic root of 2233420002 is about 1307.1441002996.

Adding to 2233420002 its reverse (2000243322), we get a palindrome (4233663324).

The spelling of 2233420002 in words is "two billion, two hundred thirty-three million, four hundred twenty thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 419 838 1257 2514 3771 4609 7542 9218 13827 26921 27654 41481 53842 80763 82962 161526 242289 296131 484578 592262 888393 1776786 2665179 5330358 11279899 22559798 33839697 67679394 101519091 124078889 203038182 248157778 372236667 744473334 1116710001 2233420002