Search a number
-
+
1972314228 = 2231719539601
BaseRepresentation
bin111010110001111…
…0010000001110100
312002110020221111010
41311203302001310
513014403023403
6523413312220
766606252153
oct16543620164
95073227433
101972314228
11922357965
12470635670
13255802851
14149d2d59a
15b8244603
hex758f2074

1972314228 has 96 divisors (see below), whose sum is σ = 5226560640. Its totient is φ = 575078400.

The previous prime is 1972314221. The next prime is 1972314233. The reversal of 1972314228 is 8224132791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972314221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200628 + ... + 210228.

It is an arithmetic number, because the mean of its divisors is an integer number (54443340).

Almost surely, 21972314228 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 1972314228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613280320).

1972314228 is an abundant number, since it is smaller than the sum of its proper divisors (3254246412).

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

1972314228 is a wasteful number, since it uses less digits than its factorization.

1972314228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9697 (or 9695 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 1972314228 is about 44410.7445107600. The cubic root of 1972314228 is about 1254.0803679582.

The spelling of 1972314228 in words is "one billion, nine hundred seventy-two million, three hundred fourteen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 53 57 68 76 102 106 114 159 204 212 228 318 323 636 646 901 969 1007 1292 1802 1938 2014 2703 3021 3604 3876 4028 5406 6042 9601 10812 12084 17119 19202 28803 34238 38404 51357 57606 68476 102714 115212 163217 182419 205428 326434 364838 489651 508853 547257 652868 729676 979302 1017706 1094514 1526559 1958604 2035412 2189028 3053118 3101123 6106236 6202246 8650501 9303369 9668207 12404492 17301002 18606738 19336414 25951503 29004621 34602004 37213476 38672828 51903006 58009242 103806012 116018484 164359519 328719038 493078557 657438076 986157114 1972314228