Search a number
-
+
2322301020 = 2235134763347
BaseRepresentation
bin1000101001101011…
…1000000001011100
312222211211010002220
42022122320001130
514224002113040
61022234545340
7111356142624
oct21232700134
95884733086
102322301020
11a91973146
12549898250
132b0182a20
141805d5884
15d8d292d0
hex8a6b805c

2322301020 has 96 divisors (see below), whose sum is σ = 7151735808. Its totient is φ = 559471872.

The previous prime is 2322301019. The next prime is 2322301057. The reversal of 2322301020 is 201032232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4987 + ... + 68333.

It is an arithmetic number, because the mean of its divisors is an integer number (74497248).

Almost surely, 22322301020 is an apocalyptic number.

2322301020 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 2322301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575867904).

2322301020 is an abundant number, since it is smaller than the sum of its proper divisors (4829434788).

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

2322301020 is a wasteful number, since it uses less digits than its factorization.

2322301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63419 (or 63417 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2322301020 is about 48190.2585591736. The cubic root of 2322301020 is about 1324.2587086448.

Adding to 2322301020 its reverse (201032232), we get a palindrome (2523333252).

The spelling of 2322301020 in words is "two billion, three hundred twenty-two million, three hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 47 52 60 65 78 94 130 141 156 188 195 235 260 282 390 470 564 611 705 780 940 1222 1410 1833 2444 2820 3055 3666 6110 7332 9165 12220 18330 36660 63347 126694 190041 253388 316735 380082 633470 760164 823511 950205 1266940 1647022 1900410 2470533 2977309 3294044 3800820 4117555 4941066 5954618 8235110 8931927 9882132 11909236 12352665 14886545 16470220 17863854 24705330 29773090 35727708 38705017 44659635 49410660 59546180 77410034 89319270 116115051 154820068 178638540 193525085 232230102 387050170 464460204 580575255 774100340 1161150510 2322301020