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23214960 = 24325191697
BaseRepresentation
bin101100010001…
…1101101110000
31121200102221100
41120203231300
521420334320
62145324400
7401216046
oct130435560
947612840
1023214960
111211681a
127936700
134a6a882
143124396
152088790
hex1623b70

23214960 has 120 divisors (see below), whose sum is σ = 82115280. Its totient is φ = 5861376.

The previous prime is 23214937. The next prime is 23214967. The reversal of 23214960 is 6941232.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23214967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12832 + ... + 14528.

It is an arithmetic number, because the mean of its divisors is an integer number (684294).

Almost surely, 223214960 is an apocalyptic number.

23214960 is a gapful number since it is divisible by the number (20) 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 23214960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41057640).

23214960 is an abundant number, since it is smaller than the sum of its proper divisors (58900320).

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

23214960 is a wasteful number, since it uses less digits than its factorization.

23214960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 23214960 is about 4818.1905317245. The cubic root of 23214960 is about 285.2699197205.

The spelling of 23214960 in words is "twenty-three million, two hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1697 1710 2280 2736 3394 3420 4560 5091 6788 6840 8485 10182 13576 13680 15273 16970 20364 25455 27152 30546 32243 33940 40728 50910 61092 64486 67880 76365 81456 96729 101820 122184 128972 135760 152730 161215 193458 203640 244368 257944 290187 305460 322430 386916 407280 483645 515888 580374 610920 644860 773832 967290 1160748 1221840 1289720 1450935 1547664 1934580 2321496 2579440 2901870 3869160 4642992 5803740 7738320 11607480 23214960