Search a number
-
+
1226643264 = 26347211439
BaseRepresentation
bin100100100011101…
…0001011101000000
310011111010221020000
41021013101131000
510003010041024
6321415120000
742253203300
oct11107213500
93144127200
101226643264
1157a454270
122a2973000
13167192622
14b8ca7600
1572a4ecc9
hex491d1740

1226643264 has 420 divisors, whose sum is σ = 4624852320. Its totient is φ = 317882880.

The previous prime is 1226643251. The next prime is 1226643269. The reversal of 1226643264 is 4623466221.

1226643264 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 643 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226643269) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2793957 + ... + 2794395.

Almost surely, 21226643264 is an apocalyptic number.

1226643264 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 1226643264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312426160).

1226643264 is an abundant number, since it is smaller than the sum of its proper divisors (3398209056).

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

1226643264 is a wasteful number, since it uses less digits than its factorization.

1226643264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 462 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 1226643264 is about 35023.4673326328. The cubic root of 1226643264 is about 1070.4657081262.

The spelling of 1226643264 in words is "one billion, two hundred twenty-six million, six hundred forty-three thousand, two hundred sixty-four".