Search a number
-
+
22868472 = 23311292103
BaseRepresentation
bin101011100111…
…1000111111000
31121000211122110
41113033013320
521323242342
62134052320
7365243634
oct127170770
947024573
1022868472
11119aa470
1277aa0a0
134978c53
143073dc4
15201ac9c
hex15cf1f8

22868472 has 96 divisors (see below), whose sum is σ = 65220480. Its totient is φ = 6625920.

The previous prime is 22868471. The next prime is 22868477. The reversal of 22868472 is 27486822.

It is a super-2 number, since 2×228684722 = 1045934023229568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22868472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22868471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221973 + ... + 222075.

It is an arithmetic number, because the mean of its divisors is an integer number (679380).

Almost surely, 222868472 is an apocalyptic number.

22868472 is a gapful number since it is divisible by the number (22) 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 22868472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32610240).

22868472 is an abundant number, since it is smaller than the sum of its proper divisors (42352008).

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

22868472 is a wasteful number, since it uses less digits than its factorization.

22868472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 148 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 22868472 is about 4782.0991206791. The cubic root of 22868472 is about 283.8435625914.

The spelling of 22868472 in words is "twenty-two million, eight hundred sixty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 103 116 132 174 206 232 264 309 319 348 412 618 638 696 824 841 957 1133 1236 1276 1682 1914 2266 2472 2523 2552 2987 3364 3399 3828 4532 5046 5974 6728 6798 7656 8961 9064 9251 10092 11948 13596 17922 18502 20184 23896 27192 27753 32857 35844 37004 55506 65714 71688 74008 86623 98571 111012 131428 173246 197142 222024 259869 262856 346492 394284 519738 692984 788568 952853 1039476 1905706 2078952 2858559 3811412 5717118 7622824 11434236 22868472