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1422210144 = 253373671091
BaseRepresentation
bin101010011000101…
…0011010001100000
310200010010202112210
41110301103101200
510403041211034
6353042522120
750146405155
oct12461232140
93603122483
101422210144
1166a889593
12338366340
13198856b84
14d6c5422c
1584cd08e9
hex54c53460

1422210144 has 96 divisors (see below), whose sum is σ = 3848173056. Its totient is φ = 459578880.

The previous prime is 1422210077. The next prime is 1422210149. The reversal of 1422210144 is 4410122241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1422210144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1422210149) 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, 1303039 + ... + 1304129.

It is an arithmetic number, because the mean of its divisors is an integer number (40085136).

Almost surely, 21422210144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1422210144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924086528).

1422210144 is an abundant number, since it is smaller than the sum of its proper divisors (2425962912).

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

1422210144 is a wasteful number, since it uses less digits than its factorization.

1422210144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1422210144 is about 37712.2015268268. The cubic root of 1422210144 is about 1124.5737035702.

Adding to 1422210144 its reverse (4410122241), we get a palindrome (5832332385).

The spelling of 1422210144 in words is "one billion, four hundred twenty-two million, two hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 367 444 592 734 888 1091 1101 1184 1468 1776 2182 2202 2936 3273 3552 4364 4404 5872 6546 8728 8808 11744 13092 13579 17456 17616 26184 27158 34912 35232 40367 40737 52368 54316 80734 81474 104736 108632 121101 161468 162948 217264 242202 322936 325896 400397 434528 484404 645872 651792 800794 968808 1201191 1291744 1303584 1601588 1937616 2402382 3203176 3875232 4804764 6406352 9609528 12812704 14814689 19219056 29629378 38438112 44444067 59258756 88888134 118517512 177776268 237035024 355552536 474070048 711105072 1422210144