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230672160 = 25325198431
BaseRepresentation
bin11011011111111…
…00011100100000
3121002001100201100
431233330130200
5433023002120
634520034400
75500452405
oct1557743440
9532040640
10230672160
11109232454
1265302a00
1338a36204
14228c82ac
15153b7490
hexdbfc720

230672160 has 144 divisors (see below), whose sum is σ = 828696960. Its totient is φ = 58268160.

The previous prime is 230672131. The next prime is 230672173. The reversal of 230672160 is 61276032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23145 + ... + 31575.

It is an arithmetic number, because the mean of its divisors is an integer number (5754840).

Almost surely, 2230672160 is an apocalyptic number.

230672160 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 230672160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414348480).

230672160 is an abundant number, since it is smaller than the sum of its proper divisors (598024800).

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

230672160 is a wasteful number, since it uses less digits than its factorization.

230672160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8471 (or 8460 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 230672160 is about 15187.8951800439. The cubic root of 230672160 is about 613.2888384021.

The spelling of 230672160 in words is "two hundred thirty million, six hundred seventy-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 8431 9120 13680 16862 25293 27360 33724 42155 50586 67448 75879 84310 101172 126465 134896 151758 160189 168620 202344 252930 269792 303516 320378 337240 379395 404688 480567 505860 607032 640756 674480 758790 800945 809376 961134 1011720 1214064 1281512 1348960 1441701 1517580 1601890 1922268 2023440 2402835 2428128 2563024 2883402 3035160 3203780 3844536 4046880 4805670 5126048 5766804 6070320 6407560 7208505 7689072 9611340 11533608 12140640 12815120 14417010 15378144 19222680 23067216 25630240 28834020 38445360 46134432 57668040 76890720 115336080 230672160