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22100148 = 22337233141
BaseRepresentation
bin101010001001…
…1100010110100
31112120210201000
41110103202310
521124201043
62105403300
7355563630
oct124234264
945523630
1022100148
1111525194
127499530
13476a315
142d13dc0
151e182d3
hex15138b4

22100148 has 192 divisors, whose sum is σ = 72253440. Its totient is φ = 5702400.

The previous prime is 22100147. The next prime is 22100149. The reversal of 22100148 is 84100122.

It is an interprime number because it is at equal distance from previous prime (22100147) and next prime (22100149).

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

It is a self number, because there is not a number n which added to its sum of digits gives 22100148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100147) 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 63 ways as a sum of consecutive naturals, for example, 539008 + ... + 539048.

It is an arithmetic number, because the mean of its divisors is an integer number (376320).

Almost surely, 222100148 is an apocalyptic number.

22100148 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22100148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36126720).

22100148 is an abundant number, since it is smaller than the sum of its proper divisors (50153292).

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

22100148 is a wasteful number, since it uses less digits than its factorization.

22100148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 22100148 is about 4701.0794505092. The cubic root of 22100148 is about 280.6284692769.

The spelling of 22100148 in words is "twenty-two million, one hundred thousand, one hundred forty-eight".