Search a number
-
+
1222413032880 = 24325133167227277
BaseRepresentation
bin10001110010011101011…
…111101001110110110000
311022212021001210011001100
4101302131133221312300
5130012000214023010
62333322505404400
7154213351224144
oct21623537516660
94285231704040
101222413032880
1143147131a466
12178ab3799700
138b371b92440
14432450a3224
1521be77042c0
hex11c9d7e9db0

1222413032880 has 960 divisors, whose sum is σ = 4668989165568. Its totient is φ = 284554321920.

The previous prime is 1222413032873. The next prime is 1222413032917. The reversal of 1222413032880 is 882303142221.

1222413032880 is a `hidden beast` number, since 1 + 2 + 224 + 1 + 30 + 328 + 80 = 666.

It is a super-2 number, since 2×12224130328802 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4413043302 + ... + 4413043578.

Almost surely, 21222413032880 is an apocalyptic number.

1222413032880 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 1222413032880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334494582784).

1222413032880 is an abundant number, since it is smaller than the sum of its proper divisors (3446576132688).

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

1222413032880 is a wasteful number, since it uses less digits than its factorization.

1222413032880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 1222413032880 in words is "one trillion, two hundred twenty-two billion, four hundred thirteen million, thirty-two thousand, eight hundred eighty".