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2244210342 = 2311315771901
BaseRepresentation
bin1000010111000011…
…1110111010100110
312210101212200211120
42011300332322212
514044004212332
61010405114410
7106420321203
oct20560767246
95711780746
102244210342
11a518864a0
125276b8a06
13299c4071a
141740a8caa
15d205132c
hex85c3eea6

2244210342 has 64 divisors (see below), whose sum is σ = 5065832448. Its totient is φ = 656640000.

The previous prime is 2244210301. The next prime is 2244210343. The reversal of 2244210342 is 2430124422.

It is a super-4 number, since 4×22442103424 (a number of 39 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244210343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1179592 + ... + 1181492.

It is an arithmetic number, because the mean of its divisors is an integer number (79153632).

Almost surely, 22244210342 is an apocalyptic number.

2244210342 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 2244210342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532916224).

2244210342 is an abundant number, since it is smaller than the sum of its proper divisors (2821622106).

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

2244210342 is a wasteful number, since it uses less digits than its factorization.

2244210342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2244210342 is about 47373.0972388338. The cubic root of 2244210342 is about 1309.2457912172.

Adding to 2244210342 its reverse (2430124422), we get a palindrome (4674334764).

The spelling of 2244210342 in words is "two billion, two hundred forty-four million, two hundred ten thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 577 682 1023 1154 1731 1901 2046 3462 3802 5703 6347 11406 12694 17887 19041 20911 35774 38082 41822 53661 58931 62733 107322 117862 125466 176793 196757 353586 393514 590271 648241 1096877 1180542 1296482 1944723 2193754 3290631 3889446 6581262 12065647 24131294 34003187 36196941 68006374 72393882 102009561 204019122 374035057 748070114 1122105171 2244210342