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20100230440 = 2354649108089
BaseRepresentation
bin10010101110000100…
…010010110100101000
31220212211010111120021
4102232010102310220
5312131124333230
613122305410224
71311050065633
oct225604226450
956784114507
1020100230440
1185850686a4
123a8b639974
131b8439c2a4
14d89736c1a
157c9968c7a
hex4ae112d28

20100230440 has 32 divisors (see below), whose sum is σ = 45235665000. Its totient is φ = 8038288384.

The previous prime is 20100230431. The next prime is 20100230441. The reversal of 20100230440 is 4403200102.

It can be written as a sum of positive squares in 4 ways, for example, as 19862392356 + 237838084 = 140934^2 + 15422^2 .

It is a super-2 number, since 2×201002304402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20100230441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131916 + ... + 240004.

Almost surely, 220100230440 is an apocalyptic number.

20100230440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100230440 is an abundant number, since it is smaller than the sum of its proper divisors (25135434560).

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

20100230440 is a wasteful number, since it uses less digits than its factorization.

20100230440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112749 (or 112745 counting only the distinct ones).

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

Adding to 20100230440 its reverse (4403200102), we get a palindrome (24503430542).

The spelling of 20100230440 in words is "twenty billion, one hundred million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 4649 9298 18596 23245 37192 46490 92980 108089 185960 216178 432356 540445 864712 1080890 2161780 4323560 502505761 1005011522 2010023044 2512528805 4020046088 5025057610 10050115220 20100230440