Search a number
-
+
1222406640 = 24355713691
BaseRepresentation
bin100100011011100…
…0111000111110000
310011012011200200000
41020313013013300
510000414003030
6321144230000
742202166520
oct11067070760
93135150600
101222406640
11578020224
122a146b300
1316633b150
14b84c3680
15724b4860
hex48dc71f0

1222406640 has 480 divisors, whose sum is σ = 5247330816. Its totient is φ = 257541120.

The previous prime is 1222406639. The next prime is 1222406651. The reversal of 1222406640 is 466042221.

1222406640 is a `hidden beast` number, since 12 + 2 + 2 + 4 + 0 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1768695 + ... + 1769385.

Almost surely, 21222406640 is an apocalyptic number.

1222406640 is a gapful number since it is divisible by the number (10) 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 1222406640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623665408).

1222406640 is an abundant number, since it is smaller than the sum of its proper divisors (4024924176).

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

1222406640 is a wasteful number, since it uses less digits than its factorization.

1222406640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1222406640 is about 34962.9323712986. The cubic root of 1222406640 is about 1069.2318824172.

Adding to 1222406640 its reverse (466042221), we get a palindrome (1688448861).

The spelling of 1222406640 in words is "one billion, two hundred twenty-two million, four hundred six thousand, six hundred forty".