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172245216 = 253111312547
BaseRepresentation
bin10100100010001…
…00000011100000
3110000002222000110
422101010003200
5323043321331
625031451320
74161026433
oct1221040340
9400088013
10172245216
1189256420
1249826b40
13298ba260
1418c3981a
15101c5946
hexa4440e0

172245216 has 96 divisors (see below), whose sum is σ = 531232128. Its totient is φ = 48176640.

The previous prime is 172245209. The next prime is 172245217. The reversal of 172245216 is 612542271.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172245217) 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, 7455 + ... + 20001.

It is an arithmetic number, because the mean of its divisors is an integer number (5533668).

Almost surely, 2172245216 is an apocalyptic number.

172245216 is a gapful number since it is divisible by the number (16) 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 172245216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265616064).

172245216 is an abundant number, since it is smaller than the sum of its proper divisors (358986912).

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

172245216 is a wasteful number, since it uses less digits than its factorization.

172245216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12584 (or 12576 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 172245216 is about 13124.2224912564. Note that the first 3 decimals coincide. The cubic root of 172245216 is about 556.3939378213.

Adding to 172245216 its reverse (612542271), we get a palindrome (784787487).

The spelling of 172245216 in words is "one hundred seventy-two million, two hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 12547 13728 25094 37641 50188 75282 100376 138017 150564 163111 200752 276034 301128 326222 401504 414051 489333 552068 602256 652444 828102 978666 1104136 1204512 1304888 1656204 1794221 1957332 2208272 2609776 3312408 3588442 3914664 4416544 5219552 5382663 6624816 7176884 7829328 10765326 13249632 14353768 15658656 21530652 28707536 43061304 57415072 86122608 172245216