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22050072 = 23321122531
BaseRepresentation
bin101010000011…
…1010100011000
31112111021000100
41110013110120
521121100242
62104335400
7355264632
oct124072430
945437010
1022050072
11114a0600
127474560
1347505a5
142cdda52
151e0854c
hex1507518

22050072 has 72 divisors (see below), whose sum is σ = 65667420. Its totient is φ = 6679200.

The previous prime is 22050059. The next prime is 22050079. The reversal of 22050072 is 27005022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22050079) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7447 + ... + 9977.

Almost surely, 222050072 is an apocalyptic number.

22050072 is a gapful number since it is divisible by the number (22) 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 22050072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32833710).

22050072 is an abundant number, since it is smaller than the sum of its proper divisors (43617348).

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

22050072 is a wasteful number, since it uses less digits than its factorization.

22050072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 22050072 is about 4695.7504192621. The cubic root of 22050072 is about 280.4163533746.

Adding to 22050072 its reverse (27005022), we get a palindrome (49055094).

The spelling of 22050072 in words is "twenty-two million, fifty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2531 2904 4356 5062 7593 8712 10124 15186 20248 22779 27841 30372 45558 55682 60744 83523 91116 111364 167046 182232 222728 250569 306251 334092 501138 612502 668184 918753 1002276 1225004 1837506 2004552 2450008 2756259 3675012 5512518 7350024 11025036 22050072