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2042230104 = 2333109127683
BaseRepresentation
bin111100110111001…
…1111010101011000
312021022211001001000
41321232133111120
513140302330404
6534352025000
7101415445425
oct17156372530
95238731030
102042230104
11958870782
1248bb32160
13267141ca5
1415532cd4c
15be455339
hex79b9f558

2042230104 has 128 divisors (see below), whose sum is σ = 5778432000. Its totient is φ = 668207232.

The previous prime is 2042230081. The next prime is 2042230109. The reversal of 2042230104 is 4010322402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042230109) 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 31 ways as a sum of consecutive naturals, for example, 2989747 + ... + 2990429.

It is an arithmetic number, because the mean of its divisors is an integer number (45144000).

Almost surely, 22042230104 is an apocalyptic number.

2042230104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042230104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889216000).

2042230104 is an abundant number, since it is smaller than the sum of its proper divisors (3736201896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2042230104 is a wasteful number, since it uses less digits than its factorization.

2042230104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2042230104 is about 45191.0400853975. The cubic root of 2042230104 is about 1268.7271236171.

Adding to 2042230104 its reverse (4010322402), we get a palindrome (6052552506).

The spelling of 2042230104 in words is "two billion, forty-two million, two hundred thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 109 127 216 218 254 327 381 436 508 654 683 762 872 981 1016 1143 1308 1366 1524 1962 2049 2286 2616 2732 2943 3048 3429 3924 4098 4572 5464 5886 6147 6858 7848 8196 9144 11772 12294 13716 13843 16392 18441 23544 24588 27432 27686 36882 41529 49176 55372 73764 74447 83058 86741 110744 124587 147528 148894 166116 173482 223341 249174 260223 297788 332232 346964 373761 446682 498348 520446 595576 670023 693928 747522 780669 893364 996696 1040892 1340046 1495044 1561338 1786728 2010069 2081784 2342007 2680092 2990088 3122676 4020138 4684014 5360184 6245352 8040276 9368028 9454769 16080552 18736056 18909538 28364307 37819076 56728614 75638152 85092921 113457228 170185842 226914456 255278763 340371684 510557526 680743368 1021115052 2042230104