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22144330120 = 23511474332473
BaseRepresentation
bin10100100111111001…
…111010100110001000
32010011021110112011211
4110213321322212020
5330322422030440
614101205502504
71412520462133
oct244771724610
963137415154
1022144330120
119433995a80
124360111a34
13211ba17223
141100dd121a
1589913ceea
hex527e7a988

22144330120 has 128 divisors (see below), whose sum is σ = 55661437440. Its totient is φ = 7859773440.

The previous prime is 22144330079. The next prime is 22144330123. The reversal of 22144330120 is 2103344122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22144330091 and 22144330100.

It is not an unprimeable number, because it can be changed into a prime (22144330123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8953204 + ... + 8955676.

It is an arithmetic number, because the mean of its divisors is an integer number (434854980).

Almost surely, 222144330120 is an apocalyptic number.

22144330120 is a gapful number since it is divisible by the number (20) 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 22144330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27830718720).

22144330120 is an abundant number, since it is smaller than the sum of its proper divisors (33517107320).

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

22144330120 is a wasteful number, since it uses less digits than its factorization.

22144330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 22144330120 its reverse (2103344122), we get a palindrome (24247674242).

It can be divided in two parts, 2214 and 4330120, that added together give a palindrome (4332334).

The spelling of 22144330120 in words is "twenty-two billion, one hundred forty-four million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 376 433 440 470 517 866 940 1034 1732 1880 2068 2165 2473 2585 3464 4136 4330 4763 4946 5170 8660 9526 9892 10340 12365 17320 19052 19784 20351 20680 23815 24730 27203 38104 40702 47630 49460 54406 81404 95260 98920 101755 108812 116231 136015 162808 190520 203510 217624 223861 232462 272030 407020 447722 464924 544060 581155 814040 895444 929848 1070809 1088120 1119305 1162310 1278541 1790888 2141618 2238610 2324620 2557082 4283236 4477220 4649240 5114164 5354045 6392705 8566472 8954440 10228328 10708090 11778899 12785410 21416180 23557798 25570820 42832360 47115596 50328023 51141640 58894495 94231192 100656046 117788990 201312092 235577980 251640115 402624184 471155960 503280230 553608253 1006560460 1107216506 2013120920 2214433012 2768041265 4428866024 5536082530 11072165060 22144330120