Search a number
-
+
922020228 = 22321723312113
BaseRepresentation
bin110110111101001…
…110100110000100
32101020221110222100
4312331032212010
53342014121403
6231254032100
731564020423
oct6675164604
92336843870
10922020228
11433502498
12218948630
131190364cc
148a64d2ba
1555e2b2a3
hex36f4e984

922020228 has 144 divisors (see below), whose sum is σ = 2659378176. Its totient is φ = 267632640.

The previous prime is 922020227. The next prime is 922020247. The reversal of 922020228 is 822020229.

It is not an unprimeable number, because it can be changed into a prime (922020227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435300 + ... + 437412.

It is an arithmetic number, because the mean of its divisors is an integer number (18467904).

Almost surely, 2922020228 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 922020228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329689088).

922020228 is an abundant number, since it is smaller than the sum of its proper divisors (1737357948).

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

922020228 is a wasteful number, since it uses less digits than its factorization.

922020228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2189 counting only the distinct ones).

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

The square root of 922020228 is about 30364.7859864021. The cubic root of 922020228 is about 973.3002083658.

Subtracting from 922020228 its reverse (822020229), we obtain a palindrome (99999999).

The spelling of 922020228 in words is "nine hundred twenty-two million, twenty thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 23 31 34 36 46 51 62 68 69 92 93 102 124 138 153 186 204 207 276 279 306 372 391 414 527 558 612 713 782 828 1054 1116 1173 1426 1564 1581 2108 2113 2139 2346 2852 3162 3519 4226 4278 4692 4743 6324 6339 6417 7038 8452 8556 9486 12121 12678 12834 14076 18972 19017 24242 25356 25668 35921 36363 38034 48484 48599 65503 71842 72726 76068 97198 107763 109089 131006 143684 145452 145797 194396 196509 215526 218178 262012 291594 323289 393018 431052 436356 437391 583188 589527 646578 786036 826183 874782 1113551 1179054 1293156 1506569 1652366 1749564 2227102 2358108 2478549 3013138 3304732 3340653 4454204 4519707 4957098 6026276 6681306 7435647 9039414 9914196 10021959 13362612 13559121 14871294 18078828 20043918 25611673 27118242 29742588 40087836 51223346 54236484 76835019 102446692 153670038 230505057 307340076 461010114 922020228