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1422136400 = 24529736653
BaseRepresentation
bin101010011000100…
…0001010001010000
310200010000000101112
41110301001101100
510403031331100
6353041152452
750145650156
oct12461012120
93603000345
101422136400
1166a839143
1233832b728
1319882c439
14d6c353d6
1584cb8b35
hex54c41450

1422136400 has 60 divisors (see below), whose sum is σ = 3452000412. Its totient is φ = 562974720.

The previous prime is 1422136399. The next prime is 1422136511. The reversal of 1422136400 is 46312241.

It can be written as a sum of positive squares in 6 ways, for example, as 66129424 + 1356006976 = 8132^2 + 36824^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20474 + ... + 57126.

Almost surely, 21422136400 is an apocalyptic number.

1422136400 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 1422136400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726000206).

1422136400 is an abundant number, since it is smaller than the sum of its proper divisors (2029864012).

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

1422136400 is a wasteful number, since it uses less digits than its factorization.

1422136400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36768 (or 36757 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 1422136400 is about 37711.2237934544. The cubic root of 1422136400 is about 1124.5542662185.

Adding to 1422136400 its reverse (46312241), we get a palindrome (1468448641).

The spelling of 1422136400 in words is "one billion, four hundred twenty-two million, one hundred thirty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 194 200 388 400 485 776 970 1552 1940 2425 3880 4850 7760 9700 19400 36653 38800 73306 146612 183265 293224 366530 586448 733060 916325 1466120 1832650 2932240 3555341 3665300 7110682 7330600 14221364 14661200 17776705 28442728 35553410 56885456 71106820 88883525 142213640 177767050 284427280 355534100 711068200 1422136400