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22001661 = 32113167107
BaseRepresentation
bin101001111101…
…1011111111101
31112101210121100
41103323133331
521113023121
62103323313
7355003533
oct123733775
945353540
1022001661
11114681a0
127450539
134734546
142cca153
151de9026
hex14fb7fd

22001661 has 48 divisors (see below), whose sum is σ = 36661248. Its totient is φ = 12592800.

The previous prime is 22001659. The next prime is 22001669. The reversal of 22001661 is 16610022.

It is a happy number.

22001661 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 1 + 661 = 666.

22001661 is a nontrivial binomial coefficient, being equal to C(6634, 2).

It is not a de Polignac number, because 22001661 - 21 = 22001659 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001669) 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 47 ways as a sum of consecutive naturals, for example, 205570 + ... + 205676.

It is an arithmetic number, because the mean of its divisors is an integer number (763776).

Almost surely, 222001661 is an apocalyptic number.

22001661 is the 6633-rd triangular number and also the 3317-th hexagonal number.

It is an amenable number.

22001661 is a deficient number, since it is larger than the sum of its proper divisors (14659587).

22001661 is a wasteful number, since it uses less digits than its factorization.

22001661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 22001661 is about 4690.5928196764. The cubic root of 22001661 is about 280.2109846871.

Adding to 22001661 its reverse (16610022), we get a palindrome (38611683).

The spelling of 22001661 in words is "twenty-two million, one thousand, six hundred sixty-one".

Divisors: 1 3 9 11 31 33 67 93 99 107 201 279 321 341 603 737 963 1023 1177 2077 2211 3069 3317 3531 6231 6633 7169 9951 10593 18693 21507 22847 29853 36487 64521 68541 78859 109461 205623 222239 236577 328383 666717 709731 2000151 2444629 7333887 22001661