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20224402020 = 223253712723911
BaseRepresentation
bin10010110101011101…
…111110001001100100
31221012110210001221200
4102311131332021210
5312404421331040
613142503042500
71314115403124
oct226535761144
957173701850
1020224402020
118639169639
123b05140430
131ba4026bb4
14d9c01ac84
157d57e5630
hex4b577e264

20224402020 has 144 divisors (see below), whose sum is σ = 63504150528. Its totient is φ = 5205876480.

The previous prime is 20224401997. The next prime is 20224402027. The reversal of 20224402020 is 2020442202.

20224402020 is a `hidden beast` number, since 2 + 0 + 22 + 440 + 202 + 0 = 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 = 20224401984 and 20224402002.

It is not an unprimeable number, because it can be changed into a prime (20224402027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 833865 + ... + 857775.

Almost surely, 220224402020 is an apocalyptic number.

20224402020 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 20224402020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31752075264).

20224402020 is an abundant number, since it is smaller than the sum of its proper divisors (43279748508).

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

20224402020 is a wasteful number, since it uses less digits than its factorization.

20224402020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24090 (or 24085 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20224402020 its reverse (2020442202), we get a palindrome (22244844222).

The spelling of 20224402020 in words is "twenty billion, two hundred twenty-four million, four hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 127 148 180 185 222 254 333 370 381 444 508 555 635 666 740 762 1110 1143 1270 1332 1524 1665 1905 2220 2286 2540 3330 3810 4572 4699 5715 6660 7620 9398 11430 14097 18796 22860 23495 23911 28194 42291 46990 47822 56388 70485 71733 84582 93980 95644 119555 140970 143466 169164 211455 215199 239110 281940 286932 358665 422910 430398 478220 717330 845820 860796 884707 1075995 1434660 1769414 2151990 2654121 3036697 3538828 4303980 4423535 5308242 6073394 7962363 8847070 9110091 10616484 12146788 13270605 15183485 15924726 17694140 18220182 26541210 27330273 30366970 31849452 36440364 39811815 45550455 53082420 54660546 60733940 79623630 91100910 109321092 112357789 136651365 159247260 182201820 224715578 273302730 337073367 449431156 546605460 561788945 674146734 1011220101 1123577890 1348293468 1685366835 2022440202 2247155780 3370733670 4044880404 5056100505 6741467340 10112201010 20224402020