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1220091264 = 27327712131
BaseRepresentation
bin100100010111001…
…0001110110000000
310011000211001120100
41020232101312000
54444320410024
6321022442400
742143414250
oct11056216600
93130731510
101220091264
11576789697
122a0733400
13165a0a2c2
14b807d960
15721a87c9
hex48b91d80

1220091264 has 192 divisors, whose sum is σ = 4070926080. Its totient is φ = 343526400.

The previous prime is 1220091263. The next prime is 1220091287. The reversal of 1220091264 is 4621900221.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220091263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 571479 + ... + 573609.

It is an arithmetic number, because the mean of its divisors is an integer number (21202740).

Almost surely, 21220091264 is an apocalyptic number.

1220091264 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 1220091264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035463040).

1220091264 is an abundant number, since it is smaller than the sum of its proper divisors (2850834816).

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

1220091264 is a wasteful number, since it uses less digits than its factorization.

1220091264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1220091264 is about 34929.8048090739. The cubic root of 1220091264 is about 1068.5563738280.

Adding to 1220091264 its reverse (4621900221), we get a palindrome (5841991485).

The spelling of 1220091264 in words is "one billion, two hundred twenty million, ninety-one thousand, two hundred sixty-four".