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1422214040 = 2351310725561
BaseRepresentation
bin101010011000101…
…0100001110011000
310200010010221220002
41110301110032120
510403041322130
6353042552132
750146422422
oct12461241630
93603127802
101422214040
1166a891505
12338368648
13198858890
14d6c55812
1584cd1b45
hex54c54398

1422214040 has 64 divisors (see below), whose sum is σ = 3478476960. Its totient is φ = 520197120.

The previous prime is 1422214021. The next prime is 1422214051. The reversal of 1422214040 is 404122241.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42860 + ... + 68420.

Almost surely, 21422214040 is an apocalyptic number.

1422214040 is a gapful number since it is divisible by the number (10) 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 1422214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739238480).

1422214040 is an abundant number, since it is smaller than the sum of its proper divisors (2056262920).

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

1422214040 is a wasteful number, since it uses less digits than its factorization.

1422214040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25692 (or 25688 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1422214040 is about 37712.2531811612. The cubic root of 1422214040 is about 1124.5747304544.

Adding to 1422214040 its reverse (404122241), we get a palindrome (1826336281).

The spelling of 1422214040 in words is "one billion, four hundred twenty-two million, two hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 107 130 214 260 428 520 535 856 1070 1391 2140 2782 4280 5564 6955 11128 13910 25561 27820 51122 55640 102244 127805 204488 255610 332293 511220 664586 1022440 1329172 1661465 2658344 2735027 3322930 5470054 6645860 10940108 13291720 13675135 21880216 27350270 35555351 54700540 71110702 109401080 142221404 177776755 284442808 355553510 711107020 1422214040