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13225200 = 24352103107
BaseRepresentation
bin110010011100…
…110011110000
3220212220120020
4302130303300
511341201300
61151243440
7220261302
oct62346360
926786506
1013225200
11751331a
124519580
132980881
141a83972
1512638a0
hexc9ccf0

13225200 has 120 divisors (see below), whose sum is σ = 43175808. Its totient is φ = 3459840.

The previous prime is 13225193. The next prime is 13225213. The reversal of 13225200 is 252231.

Adding to 13225200 its reverse (252231), we get a palindrome (13477431).

13225200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13225200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123547 + ... + 123653.

Almost surely, 213225200 is an apocalyptic number.

13225200 is a gapful number since it is divisible by the number (10) 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 13225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21587904).

13225200 is an abundant number, since it is smaller than the sum of its proper divisors (29950608).

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

13225200 is a wasteful number, since it uses less digits than its factorization.

13225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 13225200 is about 3636.6468071563. The cubic root of 13225200 is about 236.4834483125.

The spelling of 13225200 in words is "thirteen million, two hundred twenty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 103 107 120 150 200 206 214 240 300 309 321 400 412 428 515 535 600 618 642 824 856 1030 1070 1200 1236 1284 1545 1605 1648 1712 2060 2140 2472 2568 2575 2675 3090 3210 4120 4280 4944 5136 5150 5350 6180 6420 7725 8025 8240 8560 10300 10700 11021 12360 12840 15450 16050 20600 21400 22042 24720 25680 30900 32100 33063 41200 42800 44084 55105 61800 64200 66126 88168 110210 123600 128400 132252 165315 176336 220420 264504 275525 330630 440840 529008 551050 661260 826575 881680 1102100 1322520 1653150 2204200 2645040 3306300 4408400 6612600 13225200