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1222001344 = 26179711579
BaseRepresentation
bin100100011010110…
…0100001011000000
310011011102002201001
41020311210023000
510000313020334
6321131421344
742165561064
oct11065441300
93134362631
101222001344
11577873773
122a12b4854
13166228825
14b8419aa4
1572434714
hex48d642c0

1222001344 has 56 divisors (see below), whose sum is σ = 2594244240. Its totient is φ = 569081856.

The previous prime is 1222001267. The next prime is 1222001371. The reversal of 1222001344 is 4431002221.

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 7 ways as a sum of consecutive naturals, for example, 99747 + ... + 111325.

It is an arithmetic number, because the mean of its divisors is an integer number (46325790).

Almost surely, 21222001344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297122120).

1222001344 is an abundant number, since it is smaller than the sum of its proper divisors (1372242896).

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

1222001344 is a wasteful number, since it uses less digits than its factorization.

1222001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11705 (or 11695 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1222001344 is about 34957.1358094453. The cubic root of 1222001344 is about 1069.1136993474.

Adding to 1222001344 its reverse (4431002221), we get a palindrome (5653003565).

The spelling of 1222001344 in words is "one billion, two hundred twenty-two million, one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 97 136 194 272 388 544 776 1088 1552 1649 3104 3298 6208 6596 11579 13192 23158 26384 46316 52768 92632 105536 185264 196843 370528 393686 741056 787372 1123163 1574744 2246326 3149488 4492652 6298976 8985304 12597952 17970608 19093771 35941216 38187542 71882432 76375084 152750168 305500336 611000672 1222001344