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112222320016 = 248929412
BaseRepresentation
bin110100010000011111…
…0001011010110010000
3101201122222002112022211
41220200332023112100
53314312403220031
6123315413441504
711051654660362
oct1504076132620
9351588075284
10112222320016
1143658635024
12198bb040294
13a775a44971
1456083d0d32
152dbc272bb1
hex1a20f8b590

112222320016 has 45 divisors (see below), whose sum is σ = 220135174243. Its totient is φ = 55421738240.

The previous prime is 112222320013. The next prime is 112222320019. The reversal of 112222320016 is 610023222211.

It is a happy number.

The square root of 112222320016 is 334996.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (112222320013) and next prime (112222320019).

It can be written as a sum of positive squares in 4 ways, for example, as 4900560016 + 107321760000 = 70004^2 + 327600^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112222320011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 119258106 + ... + 119259046.

Almost surely, 2112222320016 is an apocalyptic number.

112222320016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

112222320016 is the 334996-th square number.

It is an amenable number.

112222320016 is a deficient number, since it is larger than the sum of its proper divisors (107912854227).

112222320016 is an frugal number, since it uses more digits than its factorization.

112222320016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Multiplying 112222320016 by its product of nonzero digits (576), we get a square (64640056329216 = 80399042).

Adding to 112222320016 its reverse (610023222211), we get a palindrome (722245542227).

The spelling of 112222320016 in words is "one hundred twelve billion, two hundred twenty-two million, three hundred twenty thousand, sixteen".

Divisors: 1 2 4 8 16 89 178 356 712 941 1424 1882 3764 7528 7921 15056 15842 31684 63368 83749 126736 167498 334996 669992 885481 1339984 1770962 3541924 7083848 7453661 14167696 14907322 29814644 59629288 78807809 119258576 157615618 315231236 630462472 1260924944 7013895001 14027790002 28055580004 56111160008 112222320016