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11442223332 = 2232556957073
BaseRepresentation
bin10101010100000001…
…00111100011100100
31002112102120011121100
422222000213203210
5141413202121312
65131222320100
7553356202461
oct125200474344
932472504540
1011442223332
114941922821
122273b89030
131104730767
147a7906668
1546e7e35dc
hex2aa0278e4

11442223332 has 36 divisors (see below), whose sum is σ = 28929098380. Its totient is φ = 3813322752.

The previous prime is 11442223321. The next prime is 11442223343. The reversal of 11442223332 is 23332224411.

11442223332 is a `hidden beast` number, since 1 + 1 + 4 + 422 + 233 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (11442223321) and next prime (11442223343).

It can be written as a sum of positive squares in 2 ways, for example, as 5478368256 + 5963855076 = 74016^2 + 77226^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 11442223296 and 11442223305.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171948 + ... + 229020.

Almost surely, 211442223332 is an apocalyptic number.

11442223332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11442223332 is an abundant number, since it is smaller than the sum of its proper divisors (17486875048).

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

11442223332 is a wasteful number, since it uses less digits than its factorization.

11442223332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62652 (or 62647 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 11442223332 its reverse (23332224411), we get a palindrome (34774447743).

The spelling of 11442223332 in words is "eleven billion, four hundred forty-two million, two hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 5569 11138 16707 22276 33414 50121 57073 66828 100242 114146 171219 200484 228292 342438 513657 684876 1027314 2054628 317839537 635679074 953518611 1271358148 1907037222 2860555833 3814074444 5721111666 11442223332