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203206205040 = 243522717772099
BaseRepresentation
bin1011110101000000001…
…0001001111001110000
3201102111210022202222020
42331100002021321300
511312131242030130
6233203542111440
720452432146366
oct2752002117160
9642453282866
10203206205040
11791a7672533
123347141b580
1316215651117
149b99c43636
155444b9ae10
hex2f50089e70

203206205040 has 160 divisors (see below), whose sum is σ = 633371961600. Its totient is φ = 53893558272.

The previous prime is 203206205021. The next prime is 203206205087. The reversal of 203206205040 is 40502602302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 203206205040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96809911 + ... + 96812009.

It is an arithmetic number, because the mean of its divisors is an integer number (3958574760).

Almost surely, 2203206205040 is an apocalyptic number.

203206205040 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 203206205040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316685980800).

203206205040 is an abundant number, since it is smaller than the sum of its proper divisors (430165756560).

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

203206205040 is a wasteful number, since it uses less digits than its factorization.

203206205040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4119 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 203206205040 its reverse (40502602302), we get a palindrome (243708807342).

The spelling of 203206205040 in words is "two hundred three billion, two hundred six million, two hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 227 240 454 681 908 1135 1362 1777 1816 2099 2270 2724 3405 3554 3632 4198 4540 5331 5448 6297 6810 7108 8396 8885 9080 10495 10662 10896 12594 13620 14216 16792 17770 18160 20990 21324 25188 26655 27240 28432 31485 33584 35540 41980 42648 50376 53310 54480 62970 71080 83960 85296 100752 106620 125940 142160 167920 213240 251880 403379 426480 476473 503760 806758 952946 1210137 1429419 1613516 1905892 2016895 2382365 2420274 2858838 3227032 3729923 3811784 4033790 4764730 4840548 5717676 6050685 6454064 7147095 7459846 7623568 8067580 9529460 9681096 11189769 11435352 12101370 14294190 14919692 16135160 18649615 19058920 19362192 22379538 22870704 24202740 28588380 29839384 32270320 37299230 38117840 44759076 48405480 55948845 57176760 59678768 74598460 89518152 96810960 111897690 114353520 149196920 179036304 223795380 298393840 447590760 846692521 895181520 1693385042 2540077563 3386770084 4233462605 5080155126 6773540168 8466925210 10160310252 12700387815 13547080336 16933850420 20320620504 25400775630 33867700840 40641241008 50801551260 67735401680 101603102520 203206205040