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254985220 = 22572260189
BaseRepresentation
bin11110011001011…
…00010000000100
3122202210120222001
433030230100010
51010234011340
641145115044
76214224100
oct1714542004
9582716861
10254985220
11120a29196
1271488a84
1340a99839
1425c16900
15175bb29a
hexf32c404

254985220 has 36 divisors (see below), whose sum is σ = 622894860. Its totient is φ = 87423168.

The previous prime is 254985217. The next prime is 254985223. The reversal of 254985220 is 22589452.

It is an interprime number because it is at equal distance from previous prime (254985217) and next prime (254985223).

It can be written as a sum of positive squares in 2 ways, for example, as 129231424 + 125753796 = 11368^2 + 11214^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 254985220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254985223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129115 + ... + 131074.

It is an arithmetic number, because the mean of its divisors is an integer number (17302635).

Almost surely, 2254985220 is an apocalyptic number.

254985220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254985220 is an abundant number, since it is smaller than the sum of its proper divisors (367909640).

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

254985220 is a wasteful number, since it uses less digits than its factorization.

254985220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260212 (or 260203 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 254985220 is about 15968.2566362142. The cubic root of 254985220 is about 634.1203186947.

The spelling of 254985220 in words is "two hundred fifty-four million, nine hundred eighty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 260189 520378 1040756 1300945 1821323 2601890 3642646 5203780 7285292 9106615 12749261 18213230 25498522 36426460 50997044 63746305 127492610 254985220