Search a number
-
+
2322211020 = 2235371139257
BaseRepresentation
bin1000101001101010…
…0010000011001100
312222211122112122120
42022122202003030
514223441223040
61022233012540
7111355316343
oct21232420314
95884575576
102322211020
11a91911568
12549854150
132b0150a7c
141805b0b5a
15d8d0c7d0
hex8a6a20cc

2322211020 has 96 divisors (see below), whose sum is σ = 6737750208. Its totient is φ = 597123072.

The previous prime is 2322211019. The next prime is 2322211037. The reversal of 2322211020 is 201122232.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246232 + ... + 255488.

It is an arithmetic number, because the mean of its divisors is an integer number (70184898).

Almost surely, 22322211020 is an apocalyptic number.

2322211020 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 2322211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368875104).

2322211020 is an abundant number, since it is smaller than the sum of its proper divisors (4415539188).

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

2322211020 is a wasteful number, since it uses less digits than its factorization.

2322211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9419 (or 9417 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2322211020 is about 48189.3247514426. The cubic root of 2322211020 is about 1324.2416013559.

Adding to 2322211020 its reverse (201122232), we get a palindrome (2523333252).

The spelling of 2322211020 in words is "two billion, three hundred twenty-two million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 113 148 185 222 226 339 370 444 452 555 565 678 740 1110 1130 1356 1695 2220 2260 3390 4181 6780 8362 9257 12543 16724 18514 20905 25086 27771 37028 41810 46285 50172 55542 62715 83620 92570 111084 125430 138855 185140 250860 277710 342509 555420 685018 1027527 1046041 1370036 1712545 2055054 2092082 3138123 3425090 4110108 4184164 5137635 5230205 6276246 6850180 10275270 10460410 12552492 15690615 20550540 20920820 31381230 38703517 62762460 77407034 116110551 154814068 193517585 232221102 387035170 464442204 580552755 774070340 1161105510 2322211020