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20040220440 = 23325167333337
BaseRepresentation
bin10010101010011111…
…010111111100011000
31220201122012200022200
4102222133113330120
5312020244023230
613112323250200
71306421030442
oct225237277430
956648180280
1020040220440
118554200259
123a73519960
131b74b1a906
14d81795492
157c4563160
hex4aa7d7f18

20040220440 has 96 divisors (see below), whose sum is σ = 65520917280. Its totient is φ = 5312042496.

The previous prime is 20040220433. The next prime is 20040220471. The reversal of 20040220440 is 4402204002.

20040220440 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 0 + 220 + 440 = 666.

It is a super-2 number, since 2×200402204402 (a number of 21 digits) contains 22 as substring.

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

20040220440 is a modest number, since divided by 220440 gives 20040 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106549 + ... + 226788.

It is an arithmetic number, because the mean of its divisors is an integer number (682509555).

Almost surely, 220040220440 is an apocalyptic number.

20040220440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20040220440 is an abundant number, since it is smaller than the sum of its proper divisors (45480696840).

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

20040220440 is a wasteful number, since it uses less digits than its factorization.

20040220440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333521 (or 333514 counting only the distinct ones).

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

Adding to 20040220440 its reverse (4402204002), we get a palindrome (24442424442).

The spelling of 20040220440 in words is "twenty billion, forty million, two hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 167 180 334 360 501 668 835 1002 1336 1503 1670 2004 2505 3006 3340 4008 5010 6012 6680 7515 10020 12024 15030 20040 30060 60120 333337 666674 1000011 1333348 1666685 2000022 2666696 3000033 3333370 4000044 5000055 6000066 6666740 8000088 10000110 12000132 13333480 15000165 20000220 24000264 30000330 40000440 55667279 60000660 111334558 120001320 167001837 222669116 278336395 334003674 445338232 501005511 556672790 668007348 835009185 1002011022 1113345580 1336014696 1670018370 2004022044 2226691160 2505027555 3340036740 4008044088 5010055110 6680073480 10020110220 20040220440