Search a number
-
+
22011984 = 2432314931
BaseRepresentation
bin101001111111…
…0000001010000
31112102022202200
41103332001100
521113340414
62103443200
7355045611
oct123760120
945368680
1022011984
1111474a25
127456500
134739157
142ccdc08
151dec109
hex14fe050

22011984 has 60 divisors (see below), whose sum is σ = 63603072. Its totient is φ = 7099200.

The previous prime is 22011967. The next prime is 22012019. The reversal of 22011984 is 48911022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1999 + ... + 6929.

Almost surely, 222011984 is an apocalyptic number.

22011984 is a gapful number since it is divisible by the number (24) 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 22011984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31801536).

22011984 is an abundant number, since it is smaller than the sum of its proper divisors (41591088).

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

22011984 is a wasteful number, since it uses less digits than its factorization.

22011984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4976 (or 4967 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 22011984 is about 4691.6930845911. The cubic root of 22011984 is about 280.2548020715.

The spelling of 22011984 in words is "twenty-two million, eleven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 4931 9862 14793 19724 29586 39448 44379 59172 78896 88758 118344 152861 177516 236688 305722 355032 458583 611444 710064 917166 1222888 1375749 1834332 2445776 2751498 3668664 5502996 7337328 11005992 22011984