Search a number
-
+
21898968 = 23371337271
BaseRepresentation
bin101001110001…
…0011011011000
31112012120201220
41103202123120
521101231333
62101212040
7354065250
oct123423330
945176656
1021898968
11113a8023
127401020
1346c9890
142ca0960
151dc88b3
hex14e26d8

21898968 has 128 divisors (see below), whose sum is σ = 69457920. Its totient is φ = 5598720.

The previous prime is 21898951. The next prime is 21898993. The reversal of 21898968 is 86989812.

It is a self number, because there is not a number n which added to its sum of digits gives 21898968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80673 + ... + 80943.

It is an arithmetic number, because the mean of its divisors is an integer number (542640).

Almost surely, 221898968 is an apocalyptic number.

21898968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21898968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34728960).

21898968 is an abundant number, since it is smaller than the sum of its proper divisors (47558952).

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

21898968 is a wasteful number, since it uses less digits than its factorization.

21898968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 333 counting only the distinct ones).

The product of its digits is 497664, while the sum is 51.

The square root of 21898968 is about 4679.6333189685. The cubic root of 21898968 is about 279.7743419958.

The spelling of 21898968 in words is "twenty-one million, eight hundred ninety-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 37 39 42 52 56 74 78 84 91 104 111 148 156 168 182 222 259 271 273 296 312 364 444 481 518 542 546 728 777 813 888 962 1036 1084 1092 1443 1554 1626 1897 1924 2072 2168 2184 2886 3108 3252 3367 3523 3794 3848 5691 5772 6216 6504 6734 7046 7588 10027 10101 10569 11382 11544 13468 14092 15176 20054 20202 21138 22764 24661 26936 28184 30081 40108 40404 42276 45528 49322 60162 70189 73983 80216 80808 84552 98644 120324 130351 140378 147966 197288 210567 240648 260702 280756 295932 391053 421134 521404 561512 591864 782106 842268 912457 1042808 1564212 1684536 1824914 2737371 3128424 3649828 5474742 7299656 10949484 21898968