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144422222100 = 2235213371000847
BaseRepresentation
bin1000011010000000111…
…1000011100100010100
3111210210000220001000220
42012200033003210110
54331234042101400
6150202513234340
713301626430052
oct2064017034424
9453700801026
10144422222100
1156281641052
1223ba68629b0
1310807b05970
146dc0a8d1d2
153b540997a0
hex21a03c3914

144422222100 has 144 divisors (see below), whose sum is σ = 462167586048. Its totient is φ = 34589237760.

The previous prime is 144422222099. The next prime is 144422222101. The reversal of 144422222100 is 1222224441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144422222099) and next prime (144422222101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144422222101) 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, 356124 + ... + 644723.

Almost surely, 2144422222100 is an apocalyptic number.

144422222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144422222100 is an abundant number, since it is smaller than the sum of its proper divisors (317745363948).

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

144422222100 is a wasteful number, since it uses less digits than its factorization.

144422222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000914 (or 1000907 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 144422222100 its reverse (1222224441), we get a palindrome (145644446541).

The spelling of 144422222100 in words is "one hundred forty-four billion, four hundred twenty-two million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 37 39 50 52 60 65 74 75 78 100 111 130 148 150 156 185 195 222 260 300 325 370 390 444 481 555 650 740 780 925 962 975 1110 1300 1443 1850 1924 1950 2220 2405 2775 2886 3700 3900 4810 5550 5772 7215 9620 11100 12025 14430 24050 28860 36075 48100 72150 144300 1000847 2001694 3002541 4003388 5004235 6005082 10008470 12010164 13011011 15012705 20016940 25021175 26022022 30025410 37031339 39033033 50042350 52044044 60050820 65055055 74062678 75063525 78066066 100084700 111094017 130110110 148125356 150127050 156132132 185156695 195165165 222188034 260220220 300254100 325275275 370313390 390330330 444376068 481407407 555470085 650550550 740626780 780660660 925783475 962814814 975825825 1110940170 1301101100 1444222221 1851566950 1925629628 1951651650 2221880340 2407037035 2777350425 2888444442 3703133900 3903303300 4814074070 5554700850 5776888884 7221111105 9628148140 11109401700 12035185175 14442222210 24070370350 28884444420 36105555525 48140740700 72211111050 144422222100