[go: up one dir, main page]

Search a number
-
+
220674120 = 233531137433
BaseRepresentation
bin11010010011100…
…11100001001000
3120101020101222120
431021303201020
5422443032440
633521451240
75316461532
oct1511634110
9511211876
10220674120
11103623807
1261aa0b20
1336945504
1421444852
151458edd0
hexd273848

220674120 has 128 divisors (see below), whose sum is σ = 689955840. Its totient is φ = 56401920.

The previous prime is 220674107. The next prime is 220674143. The reversal of 220674120 is 21476022.

220674120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509424 + ... + 509856.

It is an arithmetic number, because the mean of its divisors is an integer number (5390280).

Almost surely, 2220674120 is an apocalyptic number.

220674120 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 220674120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344977920).

220674120 is an abundant number, since it is smaller than the sum of its proper divisors (469281720).

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

220674120 is a wasteful number, since it uses less digits than its factorization.

220674120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 220674120 is about 14855.1041733136. The cubic root of 220674120 is about 604.2970411521.

The spelling of 220674120 in words is "two hundred twenty million, six hundred seventy-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 137 155 186 248 274 310 372 411 433 465 548 620 685 744 822 866 930 1096 1240 1299 1370 1644 1732 1860 2055 2165 2598 2740 3288 3464 3720 4110 4247 4330 5196 5480 6495 8220 8494 8660 10392 12741 12990 13423 16440 16988 17320 21235 25482 25980 26846 33976 40269 42470 50964 51960 53692 59321 63705 67115 80538 84940 101928 107384 118642 127410 134230 161076 169880 177963 201345 237284 254820 268460 296605 322152 355926 402690 474568 509640 536920 593210 711852 805380 889815 1186420 1423704 1610760 1779630 1838951 2372840 3559260 3677902 5516853 7118520 7355804 9194755 11033706 14711608 18389510 22067412 27584265 36779020 44134824 55168530 73558040 110337060 220674120