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22001140 = 2257295419
BaseRepresentation
bin101001111101…
…1010111110100
31112101202220001
41103323113310
521113014030
62103321044
7355002160
oct123732764
945352801
1022001140
1111467867
127450184
134734235
142cc9ca0
151de8cca
hex14fb5f4

22001140 has 48 divisors (see below), whose sum is σ = 54633600. Its totient is φ = 7281792.

The previous prime is 22001137. The next prime is 22001143. The reversal of 22001140 is 4110022.

It is an interprime number because it is at equal distance from previous prime (22001137) and next prime (22001143).

It is a super-2 number, since 2×220011402 = 968100322599200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1351 + ... + 6769.

It is an arithmetic number, because the mean of its divisors is an integer number (1138200).

Almost surely, 222001140 is an apocalyptic number.

22001140 is a gapful number since it is divisible by the number (20) 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 22001140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27316800).

22001140 is an abundant number, since it is smaller than the sum of its proper divisors (32632460).

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

22001140 is a wasteful number, since it uses less digits than its factorization.

22001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5464 (or 5462 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 22001140 is about 4690.5372826575. The cubic root of 22001140 is about 280.2087728681.

Adding to 22001140 its reverse (4110022), we get a palindrome (26111162).

The spelling of 22001140 in words is "twenty-two million, one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 4060 5419 10838 21676 27095 37933 54190 75866 108380 151732 157151 189665 314302 379330 628604 758660 785755 1100057 1571510 2200114 3143020 4400228 5500285 11000570 22001140