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414290022233 = 8372715534421
BaseRepresentation
bin1100000011101011001…
…11000000111101011001
31110121100120202201021112
412001311213000331121
523241431221202413
6514153332550105
741634331041263
oct6016547007531
91417316681245
10414290022233
1114a776a0a62a
1268360a82335
13300b50635b9
14160a1db2b33
15ab9b2192a8
hex60759c0f59

414290022233 has 16 divisors (see below), whose sum is σ = 420223579776. Its totient is φ = 408379994880.

The previous prime is 414290022227. The next prime is 414290022241. The reversal of 414290022233 is 332220092414.

It is a cyclic number.

It is not a de Polignac number, because 414290022233 - 24 = 414290022217 is a prime.

It is a super-3 number, since 3×4142900222333 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414290022233.

It is not an unprimeable number, because it can be changed into a prime (414290022533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93707363 + ... + 93711783.

It is an arithmetic number, because the mean of its divisors is an integer number (26263973736).

Almost surely, 2414290022233 is an apocalyptic number.

It is an amenable number.

414290022233 is a deficient number, since it is larger than the sum of its proper divisors (5933557543).

414290022233 is a wasteful number, since it uses less digits than its factorization.

414290022233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6784.

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 414290022233 in words is "four hundred fourteen billion, two hundred ninety million, twenty-two thousand, two hundred thirty-three".

Divisors: 1 83 727 1553 4421 60341 128899 366943 1129031 3214067 6865813 93709573 266767561 569862479 4991446051 414290022233