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20212211232 = 25354360449
BaseRepresentation
bin10010110100101111…
…011101111000100000
31221011121211201100000
4102310233131320200
5312343311224412
613141345500000
71313606650353
oct226457357040
957147751300
1020212211232
1186322a2504
123b01041600
131ba1649105
14d9a56629a
157d46d84dc
hex4b4bdde20

20212211232 has 144 divisors (see below), whose sum is σ = 60994533600. Its totient is φ = 6580611072.

The previous prime is 20212211221. The next prime is 20212211249. The reversal of 20212211232 is 23211221202.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304144 + ... + 364592.

It is an arithmetic number, because the mean of its divisors is an integer number (423573150).

Almost surely, 220212211232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20212211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30497266800).

20212211232 is an abundant number, since it is smaller than the sum of its proper divisors (40782322368).

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

20212211232 is an equidigital number, since it uses as much as digits as its factorization.

20212211232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60517 (or 60497 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20212211232 its reverse (23211221202), we get a palindrome (43423432434).

The spelling of 20212211232 in words is "twenty billion, two hundred twelve million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 81 86 96 108 129 144 162 172 216 243 258 288 324 344 387 432 486 516 648 688 774 864 972 1032 1161 1296 1376 1548 1944 2064 2322 2592 3096 3483 3888 4128 4644 6192 6966 7776 9288 10449 12384 13932 18576 20898 27864 37152 41796 55728 60449 83592 111456 120898 167184 181347 241796 334368 362694 483592 544041 725388 967184 1088082 1450776 1632123 1934368 2176164 2599307 2901552 3264246 4352328 4896369 5198614 5803104 6528492 7797921 8704656 9792738 10397228 13056984 14689107 15595842 17409312 19585476 20794456 23393763 26113968 29378214 31191684 39170952 41588912 46787526 52227936 58756428 62383368 70181289 78341904 83177824 93575052 117512856 124766736 140362578 156683808 187150104 210543867 235025712 249533472 280725156 374300208 421087734 470051424 561450312 631631601 748600416 842175468 1122900624 1263263202 1684350936 2245801248 2526526404 3368701872 5053052808 6737403744 10106105616 20212211232