Search a number
-
+
220161360 = 24351948281
BaseRepresentation
bin11010001111101…
…10010101010000
3120100021100121110
431013312111100
5422330130420
633502453320
75312224566
oct1507662520
9510240543
10220161360
11103303541
1261894240
13367c5cc3
142134da36
15144dcee0
hexd1f6550

220161360 has 80 divisors (see below), whose sum is σ = 718436160. Its totient is φ = 55618560.

The previous prime is 220161353. The next prime is 220161371. The reversal of 220161360 is 63161022.

It is a happy number.

220161360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19581 + ... + 28700.

It is an arithmetic number, because the mean of its divisors is an integer number (8980452).

Almost surely, 2220161360 is an apocalyptic number.

220161360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220161360 is an abundant number, since it is smaller than the sum of its proper divisors (498274800).

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

220161360 is a wasteful number, since it uses less digits than its factorization.

220161360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48316 (or 48310 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 220161360 is about 14837.8354216510. The cubic root of 220161360 is about 603.8286284866.

The spelling of 220161360 in words is "two hundred twenty million, one hundred sixty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 48281 96562 144843 193124 241405 289686 386248 482810 579372 724215 772496 917339 965620 1158744 1448430 1834678 1931240 2317488 2752017 2896860 3669356 3862480 4586695 5504034 5793720 7338712 9173390 11008068 11587440 13760085 14677424 18346780 22016136 27520170 36693560 44032272 55040340 73387120 110080680 220161360