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22264242 = 23711213337
BaseRepresentation
bin101010011101…
…1100110110010
31112220010210120
41110323212302
521144423432
62113111110
7360146220
oct124734662
945803716
1022264242
1111627500
127558496
1347c6c10
142d57b10
151e4bc2c
hex153b9b2

22264242 has 96 divisors (see below), whose sum is σ = 60418176. Its totient is φ = 5322240.

The previous prime is 22264241. The next prime is 22264261. The reversal of 22264242 is 24246222.

Its product of digits (3072) is a multiple of the sum of its prime factors (384).

22264242 is a modest number, since divided by 4242 gives 2226 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22264241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65898 + ... + 66234.

It is an arithmetic number, because the mean of its divisors is an integer number (629356).

Almost surely, 222264242 is an apocalyptic number.

22264242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a pronic number, being equal to 4718×4719.

It is a practical number, because each smaller number is the sum of distinct divisors of 22264242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30209088).

22264242 is an abundant number, since it is smaller than the sum of its proper divisors (38153934).

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

22264242 is a wasteful number, since it uses less digits than its factorization.

22264242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 373 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 22264242 is about 4718.4999735085. The cubic root of 22264242 is about 281.3213144590.

The spelling of 22264242 in words is "twenty-two million, two hundred sixty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 121 143 154 182 231 242 273 286 337 363 429 462 546 674 726 847 858 1001 1011 1573 1694 2002 2022 2359 2541 3003 3146 3707 4381 4718 4719 5082 6006 7077 7414 8762 9438 11011 11121 13143 14154 22022 22242 25949 26286 30667 33033 40777 48191 51898 61334 66066 77847 81554 92001 96382 122331 144573 155694 184002 244662 285439 289146 337337 530101 570878 674674 856317 1012011 1060202 1590303 1712634 2024022 3180606 3710707 7421414 11132121 22264242