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22013152 = 2572101139
BaseRepresentation
bin101001111111…
…0010011100000
31112102101100221
41103332103200
521113410102
62103452424
7355052200
oct123762340
945371327
1022013152
1111475897
127457114
134739845
142cd0400
151dec637
hex14fe4e0

22013152 has 72 divisors (see below), whose sum is σ = 51279480. Its totient is φ = 9273600.

The previous prime is 22013149. The next prime is 22013161. The reversal of 22013152 is 25131022.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 11 ways as a sum of consecutive naturals, for example, 158299 + ... + 158437.

It is an arithmetic number, because the mean of its divisors is an integer number (712215).

Almost surely, 222013152 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 22013152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25639740).

22013152 is an abundant number, since it is smaller than the sum of its proper divisors (29266328).

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

22013152 is a wasteful number, since it uses less digits than its factorization.

22013152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 22013152 is about 4691.8175582603. The cubic root of 22013152 is about 280.2597589444.

Adding to 22013152 its reverse (25131022), we get a palindrome (47144174).

The spelling of 22013152 in words is "twenty-two million, thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 101 112 139 196 202 224 278 392 404 556 707 784 808 973 1112 1414 1568 1616 1946 2224 2828 3232 3892 4448 4949 5656 6811 7784 9898 11312 13622 14039 15568 19796 22624 27244 28078 31136 39592 54488 56156 79184 98273 108976 112312 158368 196546 217952 224624 393092 449248 687911 786184 1375822 1572368 2751644 3144736 5503288 11006576 22013152