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16225152 = 273293147
BaseRepresentation
bin111101111001…
…001110000000
31010112022201120
4331321032000
513123201102
61335432240
7254624436
oct75711600
933468646
1016225152
119182219
125525680
1334911a8
142224d56
1516576bc
hexf79380

16225152 has 128 divisors (see below), whose sum is σ = 47001600. Its totient is φ = 4945920.

The previous prime is 16225141. The next prime is 16225163. The reversal of 16225152 is 25152261.

It is a happy number.

16225152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16225141) and next prime (16225163).

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 345193 + ... + 345239.

It is an arithmetic number, because the mean of its divisors is an integer number (367200).

Almost surely, 216225152 is an apocalyptic number.

16225152 is a gapful number since it is divisible by the number (12) 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 16225152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23500800).

16225152 is an abundant number, since it is smaller than the sum of its proper divisors (30776448).

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

16225152 is a wasteful number, since it uses less digits than its factorization.

16225152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 16225152 is about 4028.0456799793. The cubic root of 16225152 is about 253.1606826087.

The spelling of 16225152 in words is "sixteen million, two hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 47 48 58 62 64 87 93 94 96 116 124 128 141 174 186 188 192 232 248 282 348 372 376 384 464 496 564 696 744 752 899 928 992 1128 1363 1392 1457 1488 1504 1798 1856 1984 2256 2697 2726 2784 2914 2976 3008 3596 3712 3968 4089 4371 4512 5394 5452 5568 5828 5952 6016 7192 8178 8742 9024 10788 10904 11136 11656 11904 14384 16356 17484 18048 21576 21808 23312 28768 32712 34968 42253 43152 43616 46624 57536 65424 69936 84506 86304 87232 93248 115072 126759 130848 139872 169012 172608 174464 186496 253518 261696 279744 338024 345216 507036 523392 559488 676048 1014072 1352096 2028144 2704192 4056288 5408384 8112576 16225152