Search a number
-
+
4244032223100 = 22325217277387727
BaseRepresentation
bin111101110000100100000…
…010000111011101111100
3120000201120220101002011100
4331300210002013131330
51024013234222114400
613005403111253100
7615423034452315
oct75604402073574
916021526332140
104244032223100
11139697a60379a
1258663197a190
1324a297691697
141095ab32d60c
15755e4e04100
hex3dc2408777c

4244032223100 has 108 divisors (see below), whose sum is σ = 14085194052384. Its totient is φ = 1065168867840.

The previous prime is 4244032223077. The next prime is 4244032223131. The reversal of 4244032223100 is 13222304424.

4244032223100 is a `hidden beast` number, since 4 + 2 + 4 + 403 + 22 + 231 + 0 + 0 = 666.

4244032223100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42440322231002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 138678564 + ... + 138709163.

It is an arithmetic number, because the mean of its divisors is an integer number (130418463448).

Almost surely, 24244032223100 is an apocalyptic number.

It is an amenable number.

4244032223100 is an abundant number, since it is smaller than the sum of its proper divisors (9841161829284).

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

4244032223100 is a wasteful number, since it uses less digits than its factorization.

4244032223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277387764 (or 277387754 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 4244032223100 its reverse (13222304424), we get a palindrome (4257254527524).

The spelling of 4244032223100 in words is "four trillion, two hundred forty-four billion, thirty-two million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 150 153 170 180 204 225 255 300 306 340 425 450 510 612 765 850 900 1020 1275 1530 1700 2550 3060 3825 5100 7650 15300 277387727 554775454 832163181 1109550908 1386938635 1664326362 2496489543 2773877270 3328652724 4160815905 4715591359 4992979086 5547754540 6934693175 8321631810 9431182718 9985958172 12482447715 13869386350 14146774077 16643263620 18862365436 20804079525 23577956795 24964895430 27738772700 28293548154 41608159050 42440322231 47155913590 49929790860 56587096308 62412238575 70733870385 83216318100 84880644462 94311827180 117889783975 124824477150 141467740770 169761288924 212201611155 235779567950 249648954300 282935481540 353669351925 424403222310 471559135900 707338703850 848806444620 1061008055775 1414677407700 2122016111550 4244032223100