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2206142001 = 34731313401
BaseRepresentation
bin1000001101111111…
…0000111000110001
312200202020121220000
42003133300320301
514004233021001
61002525140213
7105445616610
oct20337607061
95622217800
102206142001
11a32345158
125169ba669
132920a218b
1416cdd9877
15cda31a86
hex837f0e31

2206142001 has 80 divisors (see below), whose sum is σ = 3910038528. Its totient is φ = 1213056000.

The previous prime is 2206141967. The next prime is 2206142009. The reversal of 2206142001 is 1002416022.

2206142001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2206142001 - 214 = 2206125617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2206142009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5501401 + ... + 5501801.

Almost surely, 22206142001 is an apocalyptic number.

2206142001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2206142001 is a deficient number, since it is larger than the sum of its proper divisors (1703896527).

2206142001 is a wasteful number, since it uses less digits than its factorization.

2206142001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2206142001 is about 46969.5859147172. The cubic root of 2206142001 is about 1301.8006607265.

Adding to 2206142001 its reverse (1002416022), we get a palindrome (3208558023).

The spelling of 2206142001 in words is "two billion, two hundred six million, one hundred forty-two thousand, one".

Divisors: 1 3 7 9 21 27 31 63 81 93 189 217 279 313 401 567 651 837 939 1203 1953 2191 2511 2807 2817 3609 5859 6573 8421 8451 9703 10827 12431 17577 19719 25263 25353 29109 32481 37293 59157 67921 75789 87017 87327 111879 125513 177471 203763 227367 261051 261981 335637 376539 611289 783153 785943 878591 1006911 1129617 1833867 2349459 2635773 3388851 3890903 5501601 7048377 7907319 10166553 11672709 23721957 27236321 35018127 71165871 81708963 105054381 245126889 315163143 735380667 2206142001