Search a number
-
+
21229152 = 253724513
BaseRepresentation
bin101000011111…
…0111001100000
31110221112220220
41100332321200
520413313102
62035003040
7345305400
oct120767140
943845826
1021229152
1110a8a85a
127139480
134523a39
142b68800
151ce51bc
hex143ee60

21229152 has 72 divisors (see below), whose sum is σ = 64839096. Its totient is φ = 6064128.

The previous prime is 21229147. The next prime is 21229163. The reversal of 21229152 is 25192212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2448 + ... + 6960.

It is an arithmetic number, because the mean of its divisors is an integer number (900543).

Almost surely, 221229152 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 21229152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32419548).

21229152 is an abundant number, since it is smaller than the sum of its proper divisors (43609944).

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

21229152 is a wasteful number, since it uses less digits than its factorization.

21229152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4540 (or 4525 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 21229152 is about 4607.5103906557. The cubic root of 21229152 is about 276.8923021831.

The spelling of 21229152 in words is "twenty-one million, two hundred twenty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4513 4704 9026 13539 18052 27078 31591 36104 54156 63182 72208 94773 108312 126364 144416 189546 216624 221137 252728 379092 433248 442274 505456 663411 758184 884548 1010912 1326822 1516368 1769096 2653644 3032736 3538192 5307288 7076384 10614576 21229152