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32202221023230 = 23531534933132439
BaseRepresentation
bin1110101001001101010011…
…11100011110111111111110
311020000111120011001222001020
413110212221330132333332
513210100122040220410
6152253255054325010
76532351025260536
oct724465174367776
9136014504058036
1032202221023230
11a295981291725
12374100a7b9766
1314c786c1a51cb
147d484acac4c6
153ac9c11eba70
hex1d49a9f1effe

32202221023230 has 128 divisors (see below), whose sum is σ = 81300749967360. Its totient is φ = 8151739015680.

The previous prime is 32202221023229. The next prime is 32202221023249. The reversal of 32202221023230 is 3232012220223.

It is a self number, because there is not a number n which added to its sum of digits gives 32202221023230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243081351 + ... + 243213789.

It is an arithmetic number, because the mean of its divisors is an integer number (635162109120).

Almost surely, 232202221023230 is an apocalyptic number.

32202221023230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32202221023230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40650374983680).

32202221023230 is an abundant number, since it is smaller than the sum of its proper divisors (49098528944130).

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

32202221023230 is a wasteful number, since it uses less digits than its factorization.

32202221023230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137466.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 32202221023230 its reverse (3232012220223), we get a palindrome (35434233243453).

The spelling of 32202221023230 in words is "thirty-two trillion, two hundred two billion, two hundred twenty-one million, twenty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 53 62 93 106 155 159 186 265 310 318 465 530 795 930 1590 1643 3286 4929 4933 8215 9858 9866 14799 16430 24645 24665 29598 49290 49330 73995 132439 147990 152923 261449 264878 305846 397317 458769 522898 662195 764615 784347 794634 917538 1307245 1324390 1529230 1568694 1986585 2293845 2614490 3921735 3973170 4105609 4587690 7019267 7843470 8104919 8211218 12316827 14038534 16209838 20528045 21057801 24314757 24633654 35096335 40524595 41056090 42115602 48629514 61584135 70192670 81049190 105289005 121573785 123168270 210578010 217597277 243147570 435194554 652791831 653321587 1087986385 1305583662 1306643174 1959964761 2175972770 3263959155 3266607935 3919929522 6527918310 6533215870 9799823805 19599647610 20252969197 34626044111 40505938394 60758907591 69252088222 101264845985 103878132333 121517815182 173130220555 202529691970 207756264666 303794537955 346260441110 519390661665 607589075910 1038781323330 1073407367441 2146814734882 3220222102323 5367036837205 6440444204646 10734073674410 16101110511615 32202221023230