Search a number
-
+
1322230364 = 2271310335267
BaseRepresentation
bin100111011001111…
…1010001001011100
310102011000021001222
41032303322021130
510201442332424
6335111552512
744523526010
oct11663721134
93364007058
101322230364
11619401274
1230a98b738
13180c1c640
14c786a540
157b131e5e
hex4ecfa25c

1322230364 has 48 divisors (see below), whose sum is σ = 2875611648. Its totient is φ = 517987008.

The previous prime is 1322230337. The next prime is 1322230397. The reversal of 1322230364 is 4630322231.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19859 + ... + 55125.

It is an arithmetic number, because the mean of its divisors is an integer number (59908576).

Almost surely, 21322230364 is an apocalyptic number.

1322230364 is a gapful number since it is divisible by the number (14) 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 1322230364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437805824).

1322230364 is an abundant number, since it is smaller than the sum of its proper divisors (1553381284).

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

1322230364 is a wasteful number, since it uses less digits than its factorization.

1322230364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35394 (or 35392 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 1322230364 is about 36362.4856686118. The cubic root of 1322230364 is about 1097.5787969293.

Adding to 1322230364 its reverse (4630322231), we get a palindrome (5952552595).

The spelling of 1322230364 in words is "one billion, three hundred twenty-two million, two hundred thirty thousand, three hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 103 182 206 364 412 721 1339 1442 2678 2884 5356 9373 18746 35267 37492 70534 141068 246869 458471 493738 916942 987476 1833884 3209297 3632501 6418594 7265002 12837188 14530004 25427507 47222513 50855014 94445026 101710028 188890052 330557591 661115182 1322230364