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20222221020 = 2235536121709
BaseRepresentation
bin10010110101010101…
…101001101011011100
31221012022200021011220
4102311111221223130
5312403342033040
613142344213340
71314061020411
oct226525515334
957168607156
1020222221020
118637a09a61
123b0446a250
131ba3742271
14d9ba10108
157d55142d0
hex4b5569adc

20222221020 has 144 divisors (see below), whose sum is σ = 58686132960. Its totient is φ = 5201064960.

The previous prime is 20222221001. The next prime is 20222221039. The reversal of 20222221020 is 2012222202.

It is an interprime number because it is at equal distance from previous prime (20222221001) and next prime (20222221039).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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, 11831926 + ... + 11833634.

It is an arithmetic number, because the mean of its divisors is an integer number (407542590).

Almost surely, 220222221020 is an apocalyptic number.

20222221020 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 20222221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29343066480).

20222221020 is an abundant number, since it is smaller than the sum of its proper divisors (38463911940).

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

20222221020 is a wasteful number, since it uses less digits than its factorization.

20222221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 20222221020 its reverse (2012222202), we get a palindrome (22234443222).

The spelling of 20222221020 in words is "twenty billion, two hundred twenty-two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 61 106 122 159 183 212 244 265 305 318 366 530 610 636 732 795 915 1060 1220 1590 1709 1830 3180 3233 3418 3660 3721 5127 6466 6836 7442 8545 9699 10254 11163 12932 14884 16165 17090 18605 19398 20508 22326 25635 32330 34180 37210 38796 44652 48495 51270 55815 64660 74420 90577 96990 102540 104249 111630 181154 193980 197213 208498 223260 271731 312747 362308 394426 416996 452885 521245 543462 591639 625494 788852 905770 986065 1042490 1086924 1183278 1250988 1358655 1563735 1811540 1972130 2084980 2366556 2717310 2958195 3127470 3944260 5434620 5525197 5916390 6254940 6359189 11050394 11832780 12718378 16575591 19077567 22100788 25436756 27625985 31795945 33151182 38155134 55251970 63591890 66302364 76310268 82877955 95387835 110503940 127183780 165755910 190775670 331511820 337037017 381551340 674074034 1011111051 1348148068 1685185085 2022222102 3370370170 4044444204 5055555255 6740740340 10111110510 20222221020