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22122022201020 = 22325724421718937
BaseRepresentation
bin1010000011110101011110…
…10001100110011010111100
32220022211210202121102102100
411001322233101212122330
510344421400140413040
6115014414450225100
74442156222101110
oct501725721463274
986284722542370
1022122022201020
1170599958a3555
122593490585190
13c46136980a01
145669d684b740
152856a0614b30
hex141eaf4666bc

22122022201020 has 144 divisors (see below), whose sum is σ = 76692923955648. Its totient is φ = 5056248130560.

The previous prime is 22122022201007. The next prime is 22122022201039. The reversal of 22122022201020 is 2010222022122.

22122022201020 is a `hidden beast` number, since 2 + 212 + 202 + 220 + 10 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22122022200984 and 22122022201002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30410992 + ... + 31129928.

It is an arithmetic number, because the mean of its divisors is an integer number (532589749692).

Almost surely, 222122022201020 is an apocalyptic number.

22122022201020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122022201020 is an abundant number, since it is smaller than the sum of its proper divisors (54570901754628).

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

22122022201020 is a wasteful number, since it uses less digits than its factorization.

22122022201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743380 (or 743375 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22122022201020 its reverse (2010222022122), we get a palindrome (24132244223142).

The spelling of 22122022201020 in words is "twenty-two trillion, one hundred twenty-two billion, twenty-two million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 24421 48842 73263 97684 122105 146526 170947 219789 244210 293052 341894 366315 439578 488420 512841 683788 718937 732630 854735 879156 1025682 1098945 1437874 1465260 1538523 1709470 2051364 2156811 2197890 2564205 2875748 3077046 3418940 3594685 4313622 4395780 5032559 5128410 6154092 6470433 7189370 7692615 8627244 10065118 10256820 10784055 12940866 14378740 15097677 15385230 20130236 21568110 25162795 25881732 30195354 30770460 32352165 43136220 45293031 50325590 60390708 64704330 75488385 90586062 100651180 129408660 150976770 181172124 226465155 301953540 452930310 905860620 17557160477 35114320954 52671481431 70228641908 87785802385 105342962862 122900123339 158014444293 175571604770 210685925724 245800246678 263357407155 316028888586 351143209540 368700370017 491600493356 526714814310 614500616695 632057777172 737400740034 790072221465 1053429628620 1106101110051 1229001233390 1474801480068 1580144442930 1843501850085 2212202220102 2458002466780 3160288885860 3687003700170 4424404440204 5530505550255 7374007400340 11061011100510 22122022201020