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203412232240 = 245719127150533
BaseRepresentation
bin1011110101110001010…
…0000101100000110000
3201110001011000001011021
42331130110011200300
511313042012412430
6233240222025224
720460513305650
oct2753424054060
9643034001137
10203412232240
11792a29a1848
123350a418214
13162492388c9
149bb9354360
155457ce607a
hex2f5c505830

203412232240 has 160 divisors (see below), whose sum is σ = 573426155520. Its totient is φ = 65550062592.

The previous prime is 203412232217. The next prime is 203412232279. The reversal of 203412232240 is 42232214302.

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, 1276014 + ... + 1426546.

It is an arithmetic number, because the mean of its divisors is an integer number (3583913472).

Almost surely, 2203412232240 is an apocalyptic number.

203412232240 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 203412232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286713077760).

203412232240 is an abundant number, since it is smaller than the sum of its proper divisors (370013923280).

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

203412232240 is a wasteful number, since it uses less digits than its factorization.

203412232240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150699 (or 150693 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 203412232240 its reverse (42232214302), we get a palindrome (245644446542).

The spelling of 203412232240 in words is "two hundred three billion, four hundred twelve million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 127 133 140 152 190 254 266 280 304 380 508 532 560 635 665 760 889 1016 1064 1270 1330 1520 1778 2032 2128 2413 2540 2660 3556 4445 4826 5080 5320 7112 8890 9652 10160 10640 12065 14224 16891 17780 19304 24130 33782 35560 38608 48260 67564 71120 84455 96520 135128 150533 168910 193040 270256 301066 337820 602132 675640 752665 1053731 1204264 1351280 1505330 2107462 2408528 2860127 3010660 4214924 5268655 5720254 6021320 8429848 10537310 11440508 12042640 14300635 16859696 19117691 20020889 21074620 22881016 28601270 38235382 40041778 42149240 45762032 57202540 76470764 80083556 84298480 95588455 100104445 114405080 133823837 152941528 160167112 191176910 200208890 228810160 267647674 305883056 320334224 363236129 382353820 400417780 535295348 669119185 726472258 764707640 800835560 1070590696 1338238370 1452944516 1529415280 1601671120 1816180645 2141181392 2542652903 2676476740 2905889032 3632361290 5085305806 5352953480 5811778064 7264722580 10170611612 10705906960 12713264515 14529445160 20341223224 25426529030 29058890320 40682446448 50853058060 101706116120 203412232240