Search a number
-
+
2223876601 = 233714511801
BaseRepresentation
bin1000010010001101…
…1010100111111001
312201222121122012001
42010203122213321
514023303022401
61004401221001
7106052432152
oct20443324771
95658548161
102223876601
11a41358451
12520931761
1329597141b
141714d4929
15d0386601
hex848da9f9

2223876601 has 16 divisors (see below), whose sum is σ = 2386251648. Its totient is φ = 2067120000.

The previous prime is 2223876547. The next prime is 2223876617. The reversal of 2223876601 is 1066783222.

2223876601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a 3-Lehmer number, since φ(2223876601) divides (2223876601-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 2223876601 - 211 = 2223874553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R2223876600.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2223876671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1233901 + ... + 1235701.

It is an arithmetic number, because the mean of its divisors is an integer number (149140728).

It is a Poulet number, since it divides 22223876600-1.

Almost surely, 22223876601 is an apocalyptic number.

It is an amenable number.

2223876601 is a deficient number, since it is larger than the sum of its proper divisors (162375047).

2223876601 is a wasteful number, since it uses less digits than its factorization.

2223876601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3312.

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 2223876601 is about 47157.9961512361. The cubic root of 2223876601 is about 1305.2796337585.

The spelling of 2223876601 in words is "two billion, two hundred twenty-three million, eight hundred seventy-six thousand, six hundred one".

Divisors: 1 23 37 851 1451 1801 33373 41423 53687 66637 1234801 1532651 2613251 60104773 96690287 2223876601