Search a number
-
+
24220092 = 223131071451
BaseRepresentation
bin101110001100…
…1000110111100
31200120111201110
41130121012330
522200020332
62223042020
7412603341
oct134310674
950514643
1024220092
1112742a06
128140310
135030220
1433067c8
1521d64cc
hex17191bc

24220092 has 48 divisors (see below), whose sum is σ = 61471872. Its totient is φ = 7377600.

The previous prime is 24220073. The next prime is 24220123. The reversal of 24220092 is 29002242.

It is a super-2 number, since 2×242200922 = 1173225712976928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15967 + ... + 17417.

It is an arithmetic number, because the mean of its divisors is an integer number (1280664).

Almost surely, 224220092 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 24220092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30735936).

24220092 is an abundant number, since it is smaller than the sum of its proper divisors (37251780).

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

24220092 is a wasteful number, since it uses less digits than its factorization.

24220092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 24220092 is about 4921.3912667050. The cubic root of 24220092 is about 289.3289756801.

It can be divided in two parts, 24 and 220092, that added together give a triangular number (220116 = T663).

The spelling of 24220092 in words is "twenty-four million, two hundred twenty thousand, ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 107 156 214 321 428 642 1284 1391 1451 2782 2902 4173 4353 5564 5804 8346 8706 16692 17412 18863 37726 56589 75452 113178 155257 226356 310514 465771 621028 931542 1863084 2018341 4036682 6055023 8073364 12110046 24220092