Search a number
-
+
21223920 = 2435191463
BaseRepresentation
bin101000011110…
…1100111110000
31110221021202010
41100331213300
520413131140
62034522520
7345254214
oct120754760
943837663
1021223920
1110a86933
127136440
134521543
142b66944
151ce3880
hex143d9f0

21223920 has 80 divisors (see below), whose sum is σ = 66281472. Its totient is φ = 5617920.

The previous prime is 21223901. The next prime is 21223927. The reversal of 21223920 is 2932212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21223927) by changing a digit.

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, 45609 + ... + 46071.

Almost surely, 221223920 is an apocalyptic number.

21223920 is a gapful number since it is divisible by the number (20) 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 21223920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33140736).

21223920 is an abundant number, since it is smaller than the sum of its proper divisors (45057552).

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

21223920 is a wasteful number, since it uses less digits than its factorization.

21223920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 21223920 is about 4606.9425870093. The cubic root of 21223920 is about 276.8695532834.

The spelling of 21223920 in words is "twenty-one million, two hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 191 240 382 463 573 764 926 955 1146 1389 1528 1852 1910 2292 2315 2778 2865 3056 3704 3820 4584 4630 5556 5730 6945 7408 7640 9168 9260 11112 11460 13890 15280 18520 22224 22920 27780 37040 45840 55560 88433 111120 176866 265299 353732 442165 530598 707464 884330 1061196 1326495 1414928 1768660 2122392 2652990 3537320 4244784 5305980 7074640 10611960 21223920