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220471008 = 25323313221
BaseRepresentation
bin11010010010000…
…01111011100000
3120100212002100220
431021001323200
5422420033013
633513243040
75314654422
oct1511017340
9510762326
10220471008
111034a514a
1261a03480
13368a3c24
14213d0812
151454eb23
hexd241ee0

220471008 has 96 divisors (see below), whose sum is σ = 623572992. Its totient is φ = 68006400.

The previous prime is 220470997. The next prime is 220471051. The reversal of 220471008 is 800174022.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 66838 + ... + 70058.

It is an arithmetic number, because the mean of its divisors is an integer number (6495552).

Almost surely, 2220471008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220471008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311786496).

220471008 is an abundant number, since it is smaller than the sum of its proper divisors (403101984).

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

220471008 is a wasteful number, since it uses less digits than its factorization.

220471008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3288 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 220471008 is about 14848.2661614075. The cubic root of 220471008 is about 604.1115826773. Note that the first 3 decimals are identical.

The spelling of 220471008 in words is "two hundred twenty million, four hundred seventy-one thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 69 92 93 96 124 138 184 186 248 276 368 372 496 552 713 736 744 992 1104 1426 1488 2139 2208 2852 2976 3221 4278 5704 6442 8556 9663 11408 12884 17112 19326 22816 25768 34224 38652 51536 68448 74083 77304 99851 103072 148166 154608 199702 222249 296332 299553 309216 399404 444498 592664 599106 798808 888996 1185328 1198212 1597616 1777992 2296573 2370656 2396424 3195232 3555984 4593146 4792848 6889719 7111968 9186292 9585696 13779438 18372584 27558876 36745168 55117752 73490336 110235504 220471008