Search a number
-
+
21988368 = 2433232213
BaseRepresentation
bin101001111100…
…0010000010000
31112101010101000
41103320100100
521112111433
62103142000
7354620013
oct123702020
945333330
1021988368
1111459206
127444900
13472b48c
142cc537a
151de5113
hex14f8410

21988368 has 80 divisors (see below), whose sum is σ = 65888640. Its totient is φ = 7007616.

The previous prime is 21988367. The next prime is 21988387. The reversal of 21988368 is 86388912.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21988367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8830 + ... + 11042.

It is an arithmetic number, because the mean of its divisors is an integer number (823608).

Almost surely, 221988368 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 21988368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32944320).

21988368 is an abundant number, since it is smaller than the sum of its proper divisors (43900272).

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

21988368 is a wasteful number, since it uses less digits than its factorization.

21988368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2241 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 21988368 is about 4689.1756205116. The cubic root of 21988368 is about 280.1545405390.

The spelling of 21988368 in words is "twenty-one million, nine hundred eighty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2213 2484 3312 4426 4968 6639 8852 9936 13278 17704 19917 26556 35408 39834 50899 53112 59751 79668 101798 106224 119502 152697 159336 203596 239004 305394 318672 407192 458091 478008 610788 814384 916182 956016 1221576 1374273 1832364 2443152 2748546 3664728 5497092 7329456 10994184 21988368