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13172220 = 2234547173
BaseRepresentation
bin110010001111…
…110111111100
3220210012220000
4302033313330
511333002340
61150154300
7216650655
oct62176774
926705800
1013172220
117487536
1244b2990
132962719
141a6c52c
151252d30
hexc8fdfc

13172220 has 120 divisors (see below), whose sum is σ = 42444864. Its totient is φ = 3417984.

The previous prime is 13172219. The next prime is 13172221. The reversal of 13172220 is 2227131.

It is an interprime number because it is at equal distance from previous prime (13172219) and next prime (13172221).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13172193 and 13172202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13172221) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76054 + ... + 76226.

Almost surely, 213172220 is an apocalyptic number.

13172220 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 13172220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21222432).

13172220 is an abundant number, since it is smaller than the sum of its proper divisors (29272644).

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

13172220 is a wasteful number, since it uses less digits than its factorization.

13172220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 13172220 is about 3629.3553146530. The cubic root of 13172220 is about 236.1672423666.

Adding to 13172220 its reverse (2227131), we get a palindrome (15399351).

The spelling of 13172220 in words is "thirteen million, one hundred seventy-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 81 90 94 108 135 141 162 173 180 188 235 270 282 324 346 405 423 470 519 540 564 692 705 810 846 865 940 1038 1269 1410 1557 1620 1692 1730 2076 2115 2538 2595 2820 3114 3460 3807 4230 4671 5076 5190 6228 6345 7614 7785 8131 8460 9342 10380 12690 14013 15228 15570 16262 18684 19035 23355 24393 25380 28026 31140 32524 38070 40655 46710 48786 56052 70065 73179 76140 81310 93420 97572 121965 140130 146358 162620 219537 243930 280260 292716 365895 439074 487860 658611 731790 878148 1097685 1317222 1463580 2195370 2634444 3293055 4390740 6586110 13172220