Search a number
-
+
2232223101 = 3253131139257
BaseRepresentation
bin1000010100001101…
…0000010101111101
312202120022200102200
42011003100111331
514032422114401
61005300142113
7106213404033
oct20503202575
95676280380
102232223101
11a46039289
12523697939
13297604494
14172668553
15d0e84686
hex850d057d

2232223101 has 48 divisors (see below), whose sum is σ = 3347023680. Its totient is φ = 1432903680.

The previous prime is 2232223093. The next prime is 2232223109. The reversal of 2232223101 is 1013222322.

It is an interprime number because it is at equal distance from previous prime (2232223093) and next prime (2232223109).

It is not a de Polignac number, because 2232223101 - 23 = 2232223093 is a prime.

It is a super-3 number, since 3×22322231013 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232223109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8685565 + ... + 8685821.

It is an arithmetic number, because the mean of its divisors is an integer number (69729660).

Almost surely, 22232223101 is an apocalyptic number.

It is an amenable number.

2232223101 is a deficient number, since it is larger than the sum of its proper divisors (1114800579).

2232223101 is a wasteful number, since it uses less digits than its factorization.

2232223101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2232223101 is about 47246.4083396823. The cubic root of 2232223101 is about 1306.9105568787.

Adding to 2232223101 its reverse (1013222322), we get a palindrome (3245445423).

The spelling of 2232223101 in words is "two billion, two hundred thirty-two million, two hundred twenty-three thousand, one hundred one".

Divisors: 1 3 9 53 131 139 159 257 393 417 477 771 1179 1251 2313 6943 7367 13621 18209 20829 22101 33667 35723 40863 54627 62487 66303 101001 107169 122589 163881 303003 321507 965077 1784351 1893319 2895231 4679713 5353053 5679957 8685693 14039139 16059159 17039871 42117417 248024789 744074367 2232223101