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220871430 = 232513188779
BaseRepresentation
bin11010010101000…
…11101100000110
3120101121102122100
431022203230012
5423020341210
633530012530
75321243013
oct1512435406
9511542570
10220871430
11103748a7a
1261b77146
13369b4270
142149670a
15145cd5c0
hexd2a3b06

220871430 has 48 divisors (see below), whose sum is σ = 618443280. Its totient is φ = 54368064.

The previous prime is 220871407. The next prime is 220871437. The reversal of 220871430 is 34178022.

220871430 is a `hidden beast` number, since 220 + 8 + 7 + 1 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 220871394 and 220871403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220871437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93220 + ... + 95559.

It is an arithmetic number, because the mean of its divisors is an integer number (12884235).

Almost surely, 2220871430 is an apocalyptic number.

220871430 is an abundant number, since it is smaller than the sum of its proper divisors (397571850).

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

220871430 is a wasteful number, since it uses less digits than its factorization.

220871430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188805 (or 188802 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 220871430 is about 14861.7438411513. The cubic root of 220871430 is about 604.4770929712.

The spelling of 220871430 in words is "two hundred twenty million, eight hundred seventy-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 188779 377558 566337 943895 1132674 1699011 1887790 2454127 2831685 3398022 4908254 5663370 7362381 8495055 12270635 14724762 16990110 22087143 24541270 36811905 44174286 73623810 110435715 220871430