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100144422 = 23273721481
BaseRepresentation
bin1011111100000…
…01010100100110
320222102212022200
411332001110212
5201114110142
613534235330
72324133150
oct576012446
9228385280
10100144422
115158aa94
1229655b46
1317994471
14d42bad0
158bd264c
hex5f81526

100144422 has 48 divisors (see below), whose sum is σ = 254690592. Its totient is φ = 27838080.

The previous prime is 100144411. The next prime is 100144481. The reversal of 100144422 is 224441001.

100144422 is a `hidden beast` number, since 100 + 144 + 422 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100144395 and 100144404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6079 + ... + 15402.

It is an arithmetic number, because the mean of its divisors is an integer number (5306054).

Almost surely, 2100144422 is an apocalyptic number.

100144422 is an abundant number, since it is smaller than the sum of its proper divisors (154546170).

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

100144422 is a wasteful number, since it uses less digits than its factorization.

100144422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21533 (or 21530 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 100144422 is about 10007.2184946667. The cubic root of 100144422 is about 464.3822250584.

Adding to 100144422 its reverse (224441001), we get a palindrome (324585423).

The spelling of 100144422 in words is "one hundred million, one hundred forty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1554 2331 4662 21481 42962 64443 128886 150367 193329 300734 386658 451101 794797 902202 1353303 1589594 2384391 2706606 4768782 5563579 7153173 11127158 14306346 16690737 33381474 50072211 100144422