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20032242400 = 2552171472959
BaseRepresentation
bin10010101010000000…
…111100001011100000
31220201002012100111201
4102222000330023200
5312011223224100
613111440250544
71306263152032
oct225200741340
956632170451
1020032242400
11854a751235
123a70910a54
131b73286491
14d806b9c52
157c39d936a
hex4aa03c2e0

20032242400 has 72 divisors (see below), whose sum is σ = 51780435840. Its totient is φ = 7541544960.

The previous prime is 20032242397. The next prime is 20032242421. The reversal of 20032242400 is 424223002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 722880 + ... + 750079.

It is an arithmetic number, because the mean of its divisors is an integer number (719172720).

Almost surely, 220032242400 is an apocalyptic number.

20032242400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20032242400 is an abundant number, since it is smaller than the sum of its proper divisors (31748193440).

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

20032242400 is a wasteful number, since it uses less digits than its factorization.

20032242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472996 (or 1472983 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 20032242400 its reverse (424223002), we get a palindrome (20456465402).

The spelling of 20032242400 in words is "twenty billion, thirty-two million, two hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 340 400 425 544 680 800 850 1360 1700 2720 3400 6800 13600 1472959 2945918 5891836 7364795 11783672 14729590 23567344 25040303 29459180 36823975 47134688 50080606 58918360 73647950 100161212 117836720 125201515 147295900 200322424 235673440 250403030 294591800 400644848 500806060 589183600 626007575 801289696 1001612120 1178367200 1252015150 2003224240 2504030300 4006448480 5008060600 10016121200 20032242400