Search a number
-
+
1422400149 = 331729106859
BaseRepresentation
bin101010011001000…
…0001101010010101
310200010111102012000
41110302001222111
510403113301044
6353050545513
750151126132
oct12462015225
93603442160
101422400149
1166a9a9315
12338438299
131988c24c1
14d6ca3589
1584d1bd69
hex54c81a95

1422400149 has 32 divisors (see below), whose sum is σ = 2308176000. Its totient is φ = 861702912.

The previous prime is 1422400141. The next prime is 1422400169. The reversal of 1422400149 is 9410042241.

It is a happy number.

It is not a de Polignac number, because 1422400149 - 23 = 1422400141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1422400141) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 40119 + ... + 66740.

It is an arithmetic number, because the mean of its divisors is an integer number (72130500).

Almost surely, 21422400149 is an apocalyptic number.

It is an amenable number.

1422400149 is a deficient number, since it is larger than the sum of its proper divisors (885775851).

1422400149 is a wasteful number, since it uses less digits than its factorization.

1422400149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106914 (or 106908 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1422400149 is about 37714.7205875902. The cubic root of 1422400149 is about 1124.6237817561.

The spelling of 1422400149 in words is "one billion, four hundred twenty-two million, four hundred thousand, one hundred forty-nine".

Divisors: 1 3 9 17 27 29 51 87 153 261 459 493 783 1479 4437 13311 106859 320577 961731 1816603 2885193 3098911 5449809 9296733 16349427 27890199 49048281 52681487 83670597 158044461 474133383 1422400149