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20003023200 = 2535234724019
BaseRepresentation
bin10010101000010001…
…011110100101100000
31220122001012212022010
4102220101132211200
5311431233220300
613104514112520
71305456614616
oct225021364540
956561185263
1020003023200
118535204436
123a62b7b740
131b6a1c5a04
14d7a8716b6
157c1166a50
hex4a845e960

20003023200 has 144 divisors (see below), whose sum is σ = 65300195520. Its totient is φ = 5318545920.

The previous prime is 20003023199. The next prime is 20003023219. The reversal of 20003023200 is 232030002.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 820791 + ... + 844809.

It is an arithmetic number, because the mean of its divisors is an integer number (453473580).

Almost surely, 220003023200 is an apocalyptic number.

20003023200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20003023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32650097760).

20003023200 is an abundant number, since it is smaller than the sum of its proper divisors (45297172320).

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

20003023200 is a wasteful number, since it uses less digits than its factorization.

20003023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24389 (or 24376 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 20003023200 its reverse (232030002), we get a palindrome (20235053202).

The spelling of 20003023200 in words is "twenty billion, three million, twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 347 400 480 600 694 800 1041 1200 1388 1735 2082 2400 2776 3470 4164 5205 5552 6940 8328 8675 10410 11104 13880 16656 17350 20820 24019 26025 27760 33312 34700 41640 48038 52050 55520 69400 72057 83280 96076 104100 120095 138800 144114 166560 192152 208200 240190 277600 288228 360285 384304 416400 480380 576456 600475 720570 768608 832800 960760 1152912 1200950 1441140 1801425 1921520 2305824 2401900 2882280 3602850 3843040 4803800 5764560 7205700 8334593 9607600 11529120 14411400 16669186 19215200 25003779 28822800 33338372 41672965 50007558 57645600 66676744 83345930 100015116 125018895 133353488 166691860 200030232 208364825 250037790 266706976 333383720 400060464 416729650 500075580 625094475 666767440 800120928 833459300 1000151160 1250188950 1333534880 1666918600 2000302320 2500377900 3333837200 4000604640 5000755800 6667674400 10001511600 20003023200