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220666380 = 2235111917597
BaseRepresentation
bin11010010011100…
…01101000001100
3120101020000100220
431021301220030
5422442311010
633521351340
75316430134
oct1511615014
9511200326
10220666380
11103618a10
1261a98550
1336941b2c
1421441ac4
151458c970
hexd271a0c

220666380 has 96 divisors (see below), whose sum is σ = 709551360. Its totient is φ = 50676480.

The previous prime is 220666351. The next prime is 220666403. The reversal of 220666380 is 83666022.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 3742 + ... + 21338.

It is an arithmetic number, because the mean of its divisors is an integer number (7391160).

Almost surely, 2220666380 is an apocalyptic number.

220666380 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 220666380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354775680).

220666380 is an abundant number, since it is smaller than the sum of its proper divisors (488884980).

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

220666380 is a wasteful number, since it uses less digits than its factorization.

220666380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17639 (or 17637 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 220666380 is about 14854.8436545122. The cubic root of 220666380 is about 604.2899759620.

It can be divided in two parts, 2206 and 66380, that added together give a palindrome (68586).

The spelling of 220666380 in words is "two hundred twenty million, six hundred sixty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 12540 17597 35194 52791 70388 87985 105582 175970 193567 211164 263955 334343 351940 387134 527910 580701 668686 774268 967835 1003029 1055820 1161402 1337372 1671715 1935670 2006058 2322804 2903505 3343430 3677773 3871340 4012116 5015145 5807010 6686860 7355546 10030290 11033319 11614020 14711092 18388865 20060580 22066638 36777730 44133276 55166595 73555460 110333190 220666380