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220302120 = 23353159221
BaseRepresentation
bin11010010000110…
…00101100101000
3120100112111200210
431020120230220
5422344131440
633505501120
75313352143
oct1510305450
9510474623
10220302120
1110339a275
12619417a0
13368450ac
142138905a
1514519a80
hexd218b28

220302120 has 64 divisors (see below), whose sum is σ = 682237440. Its totient is φ = 56851200.

The previous prime is 220302091. The next prime is 220302127. The reversal of 220302120 is 21203022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220302096 and 220302105.

It is not an unprimeable number, because it can be changed into a prime (220302127) 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 15 ways as a sum of consecutive naturals, for example, 25891 + ... + 33330.

It is an arithmetic number, because the mean of its divisors is an integer number (10659960).

Almost surely, 2220302120 is an apocalyptic number.

220302120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220302120 is an abundant number, since it is smaller than the sum of its proper divisors (461935320).

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

220302120 is a wasteful number, since it uses less digits than its factorization.

220302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59266 (or 59262 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 220302120 is about 14842.5779432011. The cubic root of 220302120 is about 603.9572868645.

Adding to 220302120 its reverse (21203022), we get a palindrome (241505142).

The spelling of 220302120 in words is "two hundred twenty million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 59221 118442 177663 236884 296105 355326 473768 592210 710652 888315 1184420 1421304 1776630 1835851 2368840 3553260 3671702 5507553 7106520 7343404 9179255 11015106 14686808 18358510 22030212 27537765 36717020 44060424 55075530 73434040 110151060 220302120