Search a number
-
+
1235222144 = 27131037207
BaseRepresentation
bin100100110011111…
…1111111010000000
310012002021210020022
41021213333322000
510012204102034
6322323033012
742416133512
oct11147777200
93162253208
101235222144
11584283752
122a580b768
13168ba73a0
14ba09bbb2
1573696b2e
hex499ffe80

1235222144 has 64 divisors (see below), whose sum is σ = 2676186240. Its totient is φ = 564489216.

The previous prime is 1235222119. The next prime is 1235222147. The reversal of 1235222144 is 4412225321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1235222147) 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 7 ways as a sum of consecutive naturals, for example, 167789 + ... + 174995.

It is an arithmetic number, because the mean of its divisors is an integer number (41815410).

Almost surely, 21235222144 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 1235222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338093120).

1235222144 is an abundant number, since it is smaller than the sum of its proper divisors (1440964096).

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

1235222144 is a wasteful number, since it uses less digits than its factorization.

1235222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7337 (or 7325 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 1235222144 is about 35145.7272509760. The cubic root of 1235222144 is about 1072.9554487643.

Adding to 1235222144 its reverse (4412225321), we get a palindrome (5647447465).

The spelling of 1235222144 in words is "one billion, two hundred thirty-five million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 128 206 208 412 416 824 832 1339 1648 1664 2678 3296 5356 6592 7207 10712 13184 14414 21424 28828 42848 57656 85696 93691 115312 171392 187382 230624 374764 461248 742321 749528 922496 1484642 1499056 2969284 2998112 5938568 5996224 9650173 11877136 11992448 19300346 23754272 38600692 47508544 77201384 95017088 154402768 308805536 617611072 1235222144