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233022000040 = 2354323150649
BaseRepresentation
bin1101100100000100110…
…0011000101110101000
3211021110201000002120221
43121001030120232220
512304212113000130
6255014314055424
722556334214414
oct3310114305650
9737421002527
10233022000040
118a907931625
12391b271a574
1318c877cc37b
14b3c7a1bd44
1560dc53a87a
hex3641318ba8

233022000040 has 48 divisors (see below), whose sum is σ = 536776240500. Its totient is φ = 91041124608.

The previous prime is 233022000037. The next prime is 233022000047. The reversal of 233022000040 is 40000220332.

It can be written as a sum of positive squares in 2 ways, for example, as 218793804516 + 14228195524 = 467754^2 + 119282^2 .

It is a junction number, because it is equal to n+sod(n) for n = 233021999978 and 233022000023.

It is not an unprimeable number, because it can be changed into a prime (233022000047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1501365 + ... + 1649284.

Almost surely, 2233022000040 is an apocalyptic number.

233022000040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233022000040 is an abundant number, since it is smaller than the sum of its proper divisors (303754240460).

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

233022000040 is a wasteful number, since it uses less digits than its factorization.

233022000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150746 (or 3150699 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 233022000040 its reverse (40000220332), we get a palindrome (273022220372).

The spelling of 233022000040 in words is "two hundred thirty-three billion, twenty-two million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 1849 3698 7396 9245 14792 18490 36980 73960 3150649 6301298 12602596 15753245 25205192 31506490 63012980 126025960 135477907 270955814 541911628 677389535 1083823256 1354779070 2709558140 5419116280 5825550001 11651100002 23302200004 29127750005 46604400008 58255500010 116511000020 233022000040