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22142204101320 = 23354714892636617
BaseRepresentation
bin1010000100011011000100…
…01101011100001011001000
32220101202220021102011222020
411002031202031130023020
510400234213222220240
6115031553234324440
74443502313316432
oct502154215341310
986352807364866
1022142204101320
117067501a729a6
122597383429720
13c48001c46454
1456798cd63652
15285e823120d0
hex14236235c2c8

22142204101320 has 128 divisors (see below), whose sum is σ = 67885530969600. Its totient is φ = 5775074942976.

The previous prime is 22142204101319. The next prime is 22142204101327. The reversal of 22142204101320 is 2310140224122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (22142204101327) 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, 7079652 + ... + 9716268.

It is an arithmetic number, because the mean of its divisors is an integer number (530355710700).

Almost surely, 222142204101320 is an apocalyptic number.

22142204101320 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 22142204101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33942765484800).

22142204101320 is an abundant number, since it is smaller than the sum of its proper divisors (45743326868280).

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

22142204101320 is a wasteful number, since it uses less digits than its factorization.

22142204101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638167 (or 2638163 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 22142204101320 its reverse (2310140224122), we get a palindrome (24452344325442).

The spelling of 22142204101320 in words is "twenty-two trillion, one hundred forty-two billion, two hundred four million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1489 1880 2820 2978 4467 5640 5956 7445 8934 11912 14890 17868 22335 29780 35736 44670 59560 69983 89340 139966 178680 209949 279932 349915 419898 559864 699830 839796 1049745 1399660 1679592 2099490 2636617 2799320 4198980 5273234 7909851 8397960 10546468 13183085 15819702 21092936 26366170 31639404 39549255 52732340 63278808 79098510 105464680 123920999 158197020 247841998 316394040 371762997 495683996 619604995 743525994 991367992 1239209990 1487051988 1858814985 2478419980 2974103976 3717629970 3925922713 4956839960 7435259940 7851845426 11777768139 14870519880 15703690852 19629613565 23555536278 31407381704 39259227130 47111072556 58888840695 78518454260 94222145112 117777681390 157036908520 184518367511 235555362780 369036735022 471110725560 553555102533 738073470044 922591837555 1107110205066 1476146940088 1845183675110 2214220410132 2767775512665 3690367350220 4428440820264 5535551025330 7380734700440 11071102050660 22142204101320