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4004042220 = 22355823877
BaseRepresentation
bin1110111010101000…
…1101010111101100
3101100001022102100000
43232222031113230
531200013322340
61501152304300
7201136540323
oct35652152754
911301272300
104004042220
1117751a5202
12938b42090
134ba708569
1429dac70ba
151867c2d30
hexeea8d5ec

4004042220 has 72 divisors (see below), whose sum is σ = 12595446864. Its totient is φ = 1067743296.

The previous prime is 4004042191. The next prime is 4004042221. The reversal of 4004042220 is 222404004.

4004042220 is a `hidden beast` number, since 40 + 0 + 404 + 2 + 220 = 666.

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 = 4004042193 and 4004042202.

It is not an unprimeable number, because it can be changed into a prime (4004042221) 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 23 ways as a sum of consecutive naturals, for example, 407079 + ... + 416798.

It is an arithmetic number, because the mean of its divisors is an integer number (174936762).

Almost surely, 24004042220 is an apocalyptic number.

It is an amenable number.

4004042220 is an abundant number, since it is smaller than the sum of its proper divisors (8591404644).

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

4004042220 is a wasteful number, since it uses less digits than its factorization.

4004042220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823901 (or 823887 counting only the distinct ones).

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

The square root of 4004042220 is about 63277.5016889890. The cubic root of 4004042220 is about 1587.9355906384.

Adding to 4004042220 its reverse (222404004), we get a palindrome (4226446224).

The spelling of 4004042220 in words is "four billion, four million, forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 823877 1647754 2471631 3295508 4119385 4943262 7414893 8238770 9886524 12358155 14829786 16477540 22244679 24716310 29659572 37074465 44489358 49432620 66734037 74148930 88978716 111223395 133468074 148297860 200202111 222446790 266936148 333670185 400404222 444893580 667340370 800808444 1001010555 1334680740 2002021110 4004042220