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110002172 = 227171912163
BaseRepresentation
bin1101000111001…
…11111111111100
321122222200121112
412203213333330
5211130032142
614525421152
72504001020
oct643477774
9248880545
10110002172
1157103295
1230a0a7b8
1319a36357
1410876380
1599cd382
hex68e7ffc

110002172 has 48 divisors (see below), whose sum is σ = 245226240. Its totient is φ = 42031872.

The previous prime is 110002163. The next prime is 110002177. The reversal of 110002172 is 271200011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110002177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2963 + ... + 15125.

It is an arithmetic number, because the mean of its divisors is an integer number (5108880).

Almost surely, 2110002172 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 110002172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122613120).

110002172 is an abundant number, since it is smaller than the sum of its proper divisors (135224068).

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

110002172 is a wasteful number, since it uses less digits than its factorization.

110002172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12210 (or 12208 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 110002172 is about 10488.1920272276. The cubic root of 110002172 is about 479.1451393110.

Adding to 110002172 its reverse (271200011), we get a palindrome (381202183).

The spelling of 110002172 in words is "one hundred ten million, two thousand, one hundred seventy-two".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 323 476 532 646 1292 2261 4522 9044 12163 24326 48652 85141 170282 206771 231097 340564 413542 462194 827084 924388 1447397 1617679 2894794 3235358 3928649 5789588 6470716 7857298 15714596 27500543 55001086 110002172