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202433242240 = 275910334747
BaseRepresentation
bin1011110010000111110…
…1100010010010000000
3201100111220212012100101
42330201331202102000
511304040402222430
6232555130532144
720424325111465
oct2744175422200
9640456765311
10202433242240
11789403190a9
1233296597054
1316121476798
149b2531566c
1553ebdb4dca
hex2f21f62480

202433242240 has 64 divisors (see below), whose sum is σ = 484009061760. Its totient is φ = 80962071552.

The previous prime is 202433242229. The next prime is 202433242247. The reversal of 202433242240 is 42242334202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 202433242199 and 202433242208.

It is not an unprimeable number, because it can be changed into a prime (202433242247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5808547 + ... + 5843293.

It is an arithmetic number, because the mean of its divisors is an integer number (7562641590).

Almost surely, 2202433242240 is an apocalyptic number.

202433242240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202433242240 is an abundant number, since it is smaller than the sum of its proper divisors (281575819520).

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

202433242240 is an equidigital number, since it uses as much as digits as its factorization.

202433242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43869 (or 43857 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 202433242240 its reverse (42242334202), we get a palindrome (244675576442).

The spelling of 202433242240 in words is "two hundred two billion, four hundred thirty-three million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 9103 18206 34747 36412 45515 69494 72824 91030 138988 145648 173735 182060 277976 291296 347470 364120 555952 582592 694940 728240 1111904 1165184 1389880 1456480 2223808 2779760 2912960 4447616 5559520 5825920 11119040 22238080 316301941 632603882 1265207764 1581509705 2530415528 3163019410 5060831056 6326038820 10121662112 12652077640 20243324224 25304155280 40486648448 50608310560 101216621120 202433242240