Search a number
-
+
17223040 = 275171583
BaseRepresentation
bin100000110110…
…0110110000000
31012102000120101
41001230312000
513402114130
61413052144
7266251642
oct101546600
935360511
1017223040
1197a3a1a
125927054
133750463
142404892
1517a31ca
hex106cd80

17223040 has 64 divisors (see below), whose sum is σ = 43623360. Its totient is φ = 6479872.

The previous prime is 17223001. The next prime is 17223053. The reversal of 17223040 is 4032271.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 17222999 and 17223017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10089 + ... + 11671.

It is an arithmetic number, because the mean of its divisors is an integer number (681615).

Almost surely, 217223040 is an apocalyptic number.

17223040 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 17223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21811680).

17223040 is an abundant number, since it is smaller than the sum of its proper divisors (26400320).

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

17223040 is a wasteful number, since it uses less digits than its factorization.

17223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 17223040 is about 4150.0650597310. The cubic root of 17223040 is about 258.2477839053.

The spelling of 17223040 in words is "seventeen million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 1583 2176 2720 3166 5440 6332 7915 10880 12664 15830 25328 26911 31660 50656 53822 63320 101312 107644 126640 134555 202624 215288 253280 269110 430576 506560 538220 861152 1013120 1076440 1722304 2152880 3444608 4305760 8611520 17223040