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220211420 = 2251113372081
BaseRepresentation
bin11010010000000…
…10100011011100
3120100100220021112
431020002203130
5422333231140
633503521152
75312523542
oct1510024334
9510326245
10220211420
11103338110
12618b91b8
1336812a20
1421363d92
15144ecc65
hexd2028dc

220211420 has 96 divisors (see below), whose sum is σ = 558242496. Its totient is φ = 71884800.

The previous prime is 220211419. The next prime is 220211429. The reversal of 220211420 is 24112022.

It is a junction number, because it is equal to n+sod(n) for n = 220211395 and 220211404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220211429) 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 31 ways as a sum of consecutive naturals, for example, 104780 + ... + 106860.

It is an arithmetic number, because the mean of its divisors is an integer number (5815026).

Almost surely, 2220211420 is an apocalyptic number.

220211420 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 220211420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279121248).

220211420 is an abundant number, since it is smaller than the sum of its proper divisors (338031076).

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

220211420 is a wasteful number, since it uses less digits than its factorization.

220211420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 220211420 is about 14839.5222295059. The cubic root of 220211420 is about 603.8743909376.

Adding to 220211420 its reverse (24112022), we get a palindrome (244323442).

It can be divided in two parts, 220 and 211420, that multiplied together give a square (46512400 = 68202).

The spelling of 220211420 in words is "two hundred twenty million, two hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 37 44 52 55 65 74 110 130 143 148 185 220 260 286 370 407 481 572 715 740 814 962 1430 1628 1924 2035 2081 2405 2860 4070 4162 4810 5291 8140 8324 9620 10405 10582 20810 21164 22891 26455 27053 41620 45782 52910 54106 76997 91564 105820 108212 114455 135265 153994 228910 270530 297583 307988 384985 457820 541060 595166 769970 846967 1000961 1190332 1487915 1539940 1693934 2001922 2975830 3387868 4003844 4234835 5004805 5951660 8469670 10009610 11010571 16939340 20019220 22021142 44042284 55052855 110105710 220211420