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22489152 = 263729577
BaseRepresentation
bin101010111001…
…0100001000000
31120022120022120
41111302201000
521224123102
62122004240
7362104020
oct125624100
946276276
1022489152
1111770484
127646680
1348753ba
142db5a80
151e936bc
hex1572840

22489152 has 112 divisors (see below), whose sum is σ = 70469760. Its totient is φ = 6193152.

The previous prime is 22489121. The next prime is 22489157. The reversal of 22489152 is 25198422.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (22489157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38688 + ... + 39264.

Almost surely, 222489152 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 22489152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35234880).

22489152 is an abundant number, since it is smaller than the sum of its proper divisors (47980608).

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

22489152 is a wasteful number, since it uses less digits than its factorization.

22489152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 618 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 22489152 is about 4742.2728727900. The cubic root of 22489152 is about 282.2654308871.

The spelling of 22489152 in words is "twenty-two million, four hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 336 348 406 448 464 577 609 672 696 812 928 1154 1218 1344 1392 1624 1731 1856 2308 2436 2784 3248 3462 4039 4616 4872 5568 6496 6924 8078 9232 9744 12117 12992 13848 16156 16733 18464 19488 24234 27696 32312 33466 36928 38976 48468 50199 55392 64624 66932 96936 100398 110784 117131 129248 133864 193872 200796 234262 258496 267728 351393 387744 401592 468524 535456 702786 775488 803184 937048 1070912 1405572 1606368 1874096 2811144 3212736 3748192 5622288 7496384 11244576 22489152