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100222112 = 2519164839
BaseRepresentation
bin1011111100101…
…00010010100000
320222120210220002
411332110102200
5201124101422
613540035132
72324605514
oct576242240
9228523802
10100222112
11516333a1
1229692aa8
13179c0933
14d44c144
158bea692
hex5f944a0

100222112 has 24 divisors (see below), whose sum is σ = 207698400. Its totient is φ = 47473344.

The previous prime is 100222103. The next prime is 100222117. The reversal of 100222112 is 211222001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100222093 and 100222102.

It is not an unprimeable number, because it can be changed into a prime (100222117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81812 + ... + 83027.

It is an arithmetic number, because the mean of its divisors is an integer number (8654100).

Almost surely, 2100222112 is an apocalyptic number.

It is an amenable number.

100222112 is an abundant number, since it is smaller than the sum of its proper divisors (107476288).

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

100222112 is a wasteful number, since it uses less digits than its factorization.

100222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164868 (or 164860 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 100222112 is about 10011.0994401214. The cubic root of 100222112 is about 464.5022801045.

Adding to 100222112 its reverse (211222001), we get a palindrome (311444113).

The spelling of 100222112 in words is "one hundred million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 164839 329678 659356 1318712 2637424 3131941 5274848 6263882 12527764 25055528 50111056 100222112