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20221210224 = 2433311509947
BaseRepresentation
bin10010110101010001…
…110010111001110000
31221012020202220122000
4102311101302321300
5312403112211344
613142310414000
71314046310445
oct226521627160
957166686560
1020221210224
118637389596
123b04061300
131ba347a167
14d9b8299cc
157d53b4a69
hex4b5472e70

20221210224 has 80 divisors (see below), whose sum is σ = 59914736640. Its totient is φ = 6522966720.

The previous prime is 20221210223. The next prime is 20221210241. The reversal of 20221210224 is 42201212202.

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 = 20221210197 and 20221210206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221210223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 741582 + ... + 768365.

It is an arithmetic number, because the mean of its divisors is an integer number (748934208).

Almost surely, 220221210224 is an apocalyptic number.

20221210224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20221210224 is an abundant number, since it is smaller than the sum of its proper divisors (39693526416).

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

20221210224 is a wasteful number, since it uses less digits than its factorization.

20221210224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509995 (or 1509983 counting only the distinct ones).

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

Adding to 20221210224 its reverse (42201212202), we get a palindrome (62422422426).

The spelling of 20221210224 in words is "twenty billion, two hundred twenty-one million, two hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 6696 13392 1509947 3019894 4529841 6039788 9059682 12079576 13589523 18119364 24159152 27179046 36238728 40768569 46808357 54358092 72477456 81537138 93616714 108716184 140425071 163074276 187233428 217432368 280850142 326148552 374466856 421275213 561700284 652297104 748933712 842550426 1123400568 1263825639 1685100852 2246801136 2527651278 3370201704 5055302556 6740403408 10110605112 20221210224