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22101156 = 223272111767
BaseRepresentation
bin101010001001…
…1110010100100
31112120212002100
41110103302210
521124214111
62105412100
7355566600
oct124236244
945525070
1022101156
1111525a20
12749a030
13476a90c
142d14500
151e18756
hex1513ca4

22101156 has 216 divisors, whose sum is σ = 76186656. Its totient is φ = 5322240.

The previous prime is 22101151. The next prime is 22101193. The reversal of 22101156 is 65110122.

It is a super-2 number, since 2×221011562 = 976922193072672, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22101151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 329835 + ... + 329901.

It is an arithmetic number, because the mean of its divisors is an integer number (352716).

Almost surely, 222101156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22101156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38093328).

22101156 is an abundant number, since it is smaller than the sum of its proper divisors (54085500).

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

22101156 is a wasteful number, since it uses less digits than its factorization.

22101156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 22101156 is about 4701.1866587065. The cubic root of 22101156 is about 280.6327357520.

Adding to 22101156 its product of nonzero digits (120), we get a triangular number (22101276 = T6648).

Adding to 22101156 its reverse (65110122), we get a palindrome (87211278).

The spelling of 22101156 in words is "twenty-two million, one hundred one thousand, one hundred fifty-six".