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220000044420 = 223251394017113
BaseRepresentation
bin1100110011100100000…
…1100100010110000100
3210000212011220012200100
43030321001210112010
512101030002410140
6245022220244100
721615543344262
oct3147101442604
9700764805610
10220000044420
1185335320632
12367796a0630
1317990a110a0
14a9103b9432
155ac91ed530
hex3339064584

220000044420 has 72 divisors (see below), whose sum is σ = 718666819416. Its totient is φ = 54153856512.

The previous prime is 220000044401. The next prime is 220000044427. The reversal of 220000044420 is 24440000022.

220000044420 is a `hidden beast` number, since 2 + 200 + 0 + 0 + 0 + 44 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3708079236 + 216291965184 = 60894^2 + 465072^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220000044393 and 220000044402.

It is not an unprimeable number, because it can be changed into a prime (220000044427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47006217 + ... + 47010896.

It is an arithmetic number, because the mean of its divisors is an integer number (9981483603).

Almost surely, 2220000044420 is an apocalyptic number.

220000044420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220000044420 is an abundant number, since it is smaller than the sum of its proper divisors (498666774996).

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

220000044420 is a wasteful number, since it uses less digits than its factorization.

220000044420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94017141 (or 94017136 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 220000044420 its reverse (24440000022), we get a palindrome (244440044442).

The spelling of 220000044420 in words is "two hundred twenty billion, forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 94017113 188034226 282051339 376068452 470085565 564102678 846154017 940171130 1128205356 1222222469 1410256695 1692308034 1880342260 2444444938 2820513390 3384616068 3666667407 4230770085 4888889876 5641026780 6111112345 7333334814 8461540170 11000002221 12222224690 14666669628 16923080340 18333337035 22000004442 24444449380 36666674070 44000008884 55000011105 73333348140 110000022210 220000044420