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173097468 = 2232171132503
BaseRepresentation
bin10100101000101…
…00000111111100
3110001201021002100
422110110013330
5323303104333
625102025100
74201206225
oct1224240774
9401637070
10173097468
1189788765
1249b78190
1329b2814b
1418dbc24c
15102e3213
hexa5141fc

173097468 has 72 divisors (see below), whose sum is σ = 467576928. Its totient is φ = 53803008.

The previous prime is 173097439. The next prime is 173097469. The reversal of 173097468 is 864790371.

It is a super-2 number, since 2×1730974682 = 59925466856022048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (173097469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67905 + ... + 70407.

It is an arithmetic number, because the mean of its divisors is an integer number (6494124).

Almost surely, 2173097468 is an apocalyptic number.

173097468 is a gapful number since it is divisible by the number (18) 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 173097468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233788464).

173097468 is an abundant number, since it is smaller than the sum of its proper divisors (294479460).

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

173097468 is a wasteful number, since it uses less digits than its factorization.

173097468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 173097468 is about 13156.6510936484. The cubic root of 173097468 is about 557.3100888802.

The spelling of 173097468 in words is "one hundred seventy-three million, ninety-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 113 153 204 226 306 339 452 612 678 1017 1356 1921 2034 2503 3842 4068 5006 5763 7509 7684 10012 11526 15018 17289 22527 23052 30036 34578 42551 45054 69156 85102 90108 127653 170204 255306 282839 382959 510612 565678 765918 848517 1131356 1531836 1697034 2545551 3394068 4808263 5091102 9616526 10182204 14424789 19233052 28849578 43274367 57699156 86548734 173097468