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233022000041 = 17313757120929
BaseRepresentation
bin1101100100000100110…
…0011000101110101001
3211021110201000002120222
43121001030120232221
512304212113000131
6255014314055425
722556334214415
oct3310114305651
9737421002528
10233022000041
118a907931626
12391b271a575
1318c877cc37c
14b3c7a1bd45
1560dc53a87b
hex3641318ba9

233022000041 has 32 divisors (see below), whose sum is σ = 262042260480. Its totient is φ = 206132428800.

The previous prime is 233022000037. The next prime is 233022000047. The reversal of 233022000041 is 140000220332.

It is a cyclic number.

It is not a de Polignac number, because 233022000041 - 22 = 233022000037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 233021999983 and 233022000019.

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

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11123465 + ... + 11144393.

It is an arithmetic number, because the mean of its divisors is an integer number (8188820640).

Almost surely, 2233022000041 is an apocalyptic number.

It is an amenable number.

233022000041 is a deficient number, since it is larger than the sum of its proper divisors (29020260439).

233022000041 is a wasteful number, since it uses less digits than its factorization.

233022000041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21585.

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 233022000041 its reverse (140000220332), we get a palindrome (373022220373).

The spelling of 233022000041 in words is "two hundred thirty-three billion, twenty-two million, forty-one", and thus it is an aban number.

Divisors: 1 17 31 37 527 571 629 1147 9707 17701 19499 20929 21127 300917 355793 359159 648799 654937 774373 11029583 11133929 11950459 13164341 24005563 203157803 370464229 408094571 442166983 6297891893 7516838711 13707176473 233022000041