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2230322120 = 235135038527
BaseRepresentation
bin1000010011110000…
…0000001111001000
312202102202002202222
42010330000033020
514031430301440
61005151313212
7106161265565
oct20474001710
95672662688
102230322120
11a44a60024
12522b1b808
132970ba140
141722d186c
15d0c0b2b5
hex84f003c8

2230322120 has 64 divisors (see below), whose sum is σ = 5415621120. Its totient is φ = 821769984.

The previous prime is 2230322113. The next prime is 2230322131. The reversal of 2230322120 is 212230322.

It is a super-2 number, since 2×22303221202 = 9948673517922588800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257297 + ... + 265823.

It is an arithmetic number, because the mean of its divisors is an integer number (84619080).

Almost surely, 22230322120 is an apocalyptic number.

2230322120 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 2230322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707810560).

2230322120 is an abundant number, since it is smaller than the sum of its proper divisors (3185299000).

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

2230322120 is a wasteful number, since it uses less digits than its factorization.

2230322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9054 (or 9050 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2230322120 is about 47226.2863244613. The cubic root of 2230322120 is about 1306.5394593065.

Adding to 2230322120 its reverse (212230322), we get a palindrome (2442552442).

The spelling of 2230322120 in words is "two billion, two hundred thirty million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 503 520 1006 2012 2515 4024 5030 6539 8527 10060 13078 17054 20120 26156 32695 34108 42635 52312 65390 68216 85270 110851 130780 170540 221702 261560 341080 443404 554255 886808 1108510 2217020 4289081 4434040 8578162 17156324 21445405 34312648 42890810 55758053 85781620 111516106 171563240 223032212 278790265 446064424 557580530 1115161060 2230322120