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22241142 = 2347111783
BaseRepresentation
bin101010011010…
…1111101110110
31112211222010000
41110311331312
521143204032
62112412130
7360021660
oct124657566
945758100
1022241142
1111611110
127547046
1347b9551
142d4d530
151e44e7c
hex1535f76

22241142 has 80 divisors (see below), whose sum is σ = 62168832. Its totient is φ = 5773680.

The previous prime is 22241137. The next prime is 22241143. The reversal of 22241142 is 24114222.

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 (22241143) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11583 + ... + 13365.

Almost surely, 222241142 is an apocalyptic number.

22241142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22241142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31084416).

22241142 is an abundant number, since it is smaller than the sum of its proper divisors (39927690).

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

22241142 is a wasteful number, since it uses less digits than its factorization.

22241142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1806 counting only the distinct ones).

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

The square root of 22241142 is about 4716.0515264361. The cubic root of 22241142 is about 281.2239869274.

Adding to 22241142 its reverse (24114222), we get a palindrome (46355364).

Subtracting 22241142 from its reverse (24114222), we obtain a triangular number (1873080 = T1935).

The spelling of 22241142 in words is "twenty-two million, two hundred forty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 297 378 462 567 594 693 891 1134 1386 1782 1783 2079 3566 4158 5349 6237 10698 12474 12481 16047 19613 24962 32094 37443 39226 48141 58839 74886 96282 112329 117678 137291 144423 176517 224658 274582 288846 336987 353034 411873 529551 673974 823746 1010961 1059102 1235619 1588653 2021922 2471238 3177306 3706857 7413714 11120571 22241142