Search a number
-
+
203412022440 = 233511413758537
BaseRepresentation
bin1011110101110001001…
…1010010010010101000
3201110001010121101100220
42331130103102102220
511313041434204230
6233240213330040
720460511443204
oct2753423222250
9643033541326
10203412022440
11792a2869160
123350a336920
1316249194273
149bb92dbb04
155457ca3d10
hex2f5c4d24a8

203412022440 has 128 divisors (see below), whose sum is σ = 681949134720. Its totient is φ = 48109260800.

The previous prime is 203412022427. The next prime is 203412022441. The reversal of 203412022440 is 44220214302.

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 203412022440.

It is not an unprimeable number, because it can be changed into a prime (203412022441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1825149 + ... + 1933388.

It is an arithmetic number, because the mean of its divisors is an integer number (5327727615).

Almost surely, 2203412022440 is an apocalyptic number.

203412022440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203412022440 is an abundant number, since it is smaller than the sum of its proper divisors (478537112280).

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

203412022440 is a wasteful number, since it uses less digits than its factorization.

203412022440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758603 (or 3758599 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 203412022440 its reverse (44220214302), we get a palindrome (247632236742).

The spelling of 203412022440 in words is "two hundred three billion, four hundred twelve million, twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 41 44 55 60 66 82 88 110 120 123 132 164 165 205 220 246 264 328 330 410 440 451 492 615 660 820 902 984 1230 1320 1353 1640 1804 2255 2460 2706 3608 4510 4920 5412 6765 9020 10824 13530 18040 27060 54120 3758537 7517074 11275611 15034148 18792685 22551222 30068296 37585370 41343907 45102444 56378055 75170740 82687814 90204888 112756110 124031721 150341480 154100017 165375628 206719535 225512220 248063442 308200034 330751256 413439070 451024440 462300051 496126884 616400068 620158605 770500085 826878140 924600102 992253768 1232800136 1240317210 1541000170 1653756280 1695100187 1849200204 2311500255 2480634420 3082000340 3390200374 3698400408 4623000510 4961268840 5085300561 6164000680 6780400748 8475500935 9246001020 10170601122 13560801496 16951001870 18492002040 20341202244 25426502805 33902003740 40682404488 50853005610 67804007480 101706011220 203412022440