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426000000220 = 225232940517883
BaseRepresentation
bin1100011001011111001…
…01000010010011011100
31111201120200011020012221
412030233211002103130
523434422000001340
6523411322235124
742530451153634
oct6145745022334
91451520136187
10426000000220
11154735992393
126a68a655aa4
13312300b1b62
14168932976c4
15b13429c44a
hex632f9424dc

426000000220 has 96 divisors (see below), whose sum is σ = 966046072320. Its totient is φ = 157312108800.

The previous prime is 426000000199. The next prime is 426000000227. The reversal of 426000000220 is 22000000624.

It is a junction number, because it is equal to n+sod(n) for n = 426000000194 and 426000000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426000000227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54036399 + ... + 54044281.

It is an arithmetic number, because the mean of its divisors is an integer number (10062979920).

Almost surely, 2426000000220 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 426000000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483023036160).

426000000220 is an abundant number, since it is smaller than the sum of its proper divisors (540046072100).

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

426000000220 is a wasteful number, since it uses less digits than its factorization.

426000000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11995 (or 11993 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 426000000220 its reverse (22000000624), we get a palindrome (448000000844).

The spelling of 426000000220 in words is "four hundred twenty-six billion, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1334 2668 3335 4051 6670 7883 8102 13340 15766 16204 20255 31532 39415 40510 78830 81020 93173 117479 157660 181309 186346 228607 234958 362618 372692 457214 465865 469916 587395 725236 906545 914428 931730 1143035 1174790 1813090 1863460 2286070 2349580 2702017 3626180 4572140 5257961 5404034 10515922 10808068 13510085 21031844 26289805 27020170 31934033 52579610 54040340 63868066 105159220 127736132 159670165 319340330 638680660 734482759 926086957 1468965518 1852173914 2937931036 3672413795 3704347828 4630434785 7344827590 9260869570 14689655180 18521739140 21300000011 42600000022 85200000044 106500000055 213000000110 426000000220