Search a number
-
+
21972228 = 22317374171
BaseRepresentation
bin101001111010…
…0010100000100
31112100022020020
41103310110010
521111102403
62102535140
7354521655
oct123642404
945308206
1021972228
1111448073
1274374b0
134724025
142cbd52c
151de0453
hex14f4504

21972228 has 96 divisors (see below), whose sum is σ = 57915648. Its totient is φ = 6451200.

The previous prime is 21972217. The next prime is 21972229. The reversal of 21972228 is 82227912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21972229) 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, 309433 + ... + 309503.

It is an arithmetic number, because the mean of its divisors is an integer number (603288).

Almost surely, 221972228 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 21972228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28957824).

21972228 is an abundant number, since it is smaller than the sum of its proper divisors (35943420).

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

21972228 is a wasteful number, since it uses less digits than its factorization.

21972228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 171 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 21972228 is about 4687.4543197774. The cubic root of 21972228 is about 280.0859769985.

The spelling of 21972228 in words is "twenty-one million, nine hundred seventy-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 34 37 41 51 68 71 74 82 102 111 123 142 148 164 204 213 222 246 284 426 444 492 629 697 852 1207 1258 1394 1517 1887 2091 2414 2516 2627 2788 2911 3034 3621 3774 4182 4551 4828 5254 5822 6068 7242 7548 7881 8364 8733 9102 10508 11644 14484 15762 17466 18204 25789 31524 34932 44659 49487 51578 77367 89318 98974 103156 107707 133977 148461 154734 178636 197948 215414 267954 296922 309468 323121 430828 535908 593844 646242 1292484 1831019 3662038 5493057 7324076 10986114 21972228