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21949224 = 23311711171
BaseRepresentation
bin101001110111…
…0101100101000
31112022010200020
41103232230220
521104333344
62102240440
7354364623
oct123565450
945263606
1021949224
1111431860
127426120
13471670b
142cb4dba
151dd8719
hex14eeb28

21949224 has 64 divisors (see below), whose sum is σ = 60756480. Its totient is φ = 6552000.

The previous prime is 21949223. The next prime is 21949229. The reversal of 21949224 is 42294912.

It is a Cunningham number, because it is equal to 46852-1.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (21949223) 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, 18159 + ... + 19329.

It is an arithmetic number, because the mean of its divisors is an integer number (949320).

Almost surely, 221949224 is an apocalyptic number.

21949224 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 21949224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30378240).

21949224 is an abundant number, since it is smaller than the sum of its proper divisors (38807256).

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

21949224 is a wasteful number, since it uses less digits than its factorization.

21949224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1258 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 21949224 is about 4684.9998932764. Note that the first 3 decimals coincide. The cubic root of 21949224 is about 279.9881967814.

The spelling of 21949224 in words is "twenty-one million, nine hundred forty-nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 142 213 264 284 426 568 781 852 1171 1562 1704 2342 2343 3124 3513 4684 4686 6248 7026 9368 9372 12881 14052 18744 25762 28104 38643 51524 77286 83141 103048 154572 166282 249423 309144 332564 498846 665128 914551 997692 1829102 1995384 2743653 3658204 5487306 7316408 10974612 21949224