Search a number
-
+
2322430002 = 233195342709
BaseRepresentation
bin1000101001101101…
…0111100000110010
312222212001200001000
42022123113200302
514224020230002
61022241422430
7111360220644
oct21233274062
95885050030
102322430002
11a91a51042
1254993aa16
132b01c9649
1418062a894
15d8d5261c
hex8a6d7832

2322430002 has 64 divisors (see below), whose sum is σ = 5535216000. Its totient is φ = 719544384.

The previous prime is 2322430001. The next prime is 2322430009. The reversal of 2322430002 is 2000342232.

2322430002 is a `hidden beast` number, since 232 + 2 + 430 + 0 + 0 + 2 = 666.

It is a super-2 number, since 2×23224300022 = 10787362228379440008, which contains 22 as substring.

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 (2322430001) 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, 33024 + ... + 75732.

It is an arithmetic number, because the mean of its divisors is an integer number (86487750).

Almost surely, 22322430002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2322430002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767608000).

2322430002 is an abundant number, since it is smaller than the sum of its proper divisors (3212785998).

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

2322430002 is a wasteful number, since it uses less digits than its factorization.

2322430002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42792 (or 42786 counting only the distinct ones).

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

The square root of 2322430002 is about 48191.5967986121. The cubic root of 2322430002 is about 1324.2832249002.

Adding to 2322430002 its reverse (2000342232), we get a palindrome (4322772234).

The spelling of 2322430002 in words is "two billion, three hundred twenty-two million, four hundred thirty thousand, two".

Divisors: 1 2 3 6 9 18 19 27 38 53 54 57 106 114 159 171 318 342 477 513 954 1007 1026 1431 2014 2862 3021 6042 9063 18126 27189 42709 54378 85418 128127 256254 384381 768762 811471 1153143 1622942 2263577 2306286 2434413 4527154 4868826 6790731 7303239 13581462 14606478 20372193 21909717 40744386 43007963 43819434 61116579 86015926 122233158 129023889 258047778 387071667 774143334 1161215001 2322430002