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332023323230020 = 225295371771504949
BaseRepresentation
bin100101101111110010011010…
…0001111001111111101000100
31121112121010020021021001010101
41023133210310033033331010
5322004332231221330040
63134053224202133444
7126635615316644452
oct11337446417177504
91545533207231111
10332023323230020
119687a334151274
12312a44171b1284
1311335885109a46
145bdc02c05d9d2
15285ba4dec209a
hex12df9343cff44

332023323230020 has 96 divisors (see below), whose sum is σ = 735004216044000. Its totient is φ = 125792655765504.

The previous prime is 332023323229981. The next prime is 332023323230087. The reversal of 332023323230020 is 20032323320233.

It can be written as a sum of positive squares in 16 ways, for example, as 3726104417344 + 328297218812676 = 1930312^2 + 18118974^2 .

It is a super-2 number, since 2×3320233232300202 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219868506 + ... + 221373454.

It is an arithmetic number, because the mean of its divisors is an integer number (7656293917125).

Almost surely, 2332023323230020 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 332023323230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367502108022000).

332023323230020 is an abundant number, since it is smaller than the sum of its proper divisors (402980892813980).

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

332023323230020 is a wasteful number, since it uses less digits than its factorization.

332023323230020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512217 (or 1512215 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 28.

Adding to 332023323230020 its reverse (20032323320233), we get a palindrome (352055646550253).

The spelling of 332023323230020 in words is "three hundred thirty-two trillion, twenty-three billion, three hundred twenty-three million, two hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 53 58 106 116 145 212 265 290 530 580 1060 1537 3074 6148 7177 7685 14354 15370 28708 30740 35885 71770 143540 208133 380381 416266 760762 832532 1040665 1504949 1521524 1901905 2081330 3009898 3803810 4162660 6019796 7524745 7607620 11031049 15049490 22062098 30098980 43643521 44124196 55155245 79762297 87287042 110310490 159524594 174574084 218217605 220620980 319049188 398811485 436435210 797622970 872870420 1595245940 2313106613 4626213226 9252426452 10801018973 11565533065 21602037946 23131066130 43204075892 46262132260 54005094865 108010189730 216020379460 313229550217 572454005569 626459100434 1144908011138 1252918200868 1566147751085 2289816022276 2862270027845 3132295502170 5724540055690 6264591004340 11449080111380 16601166161501 33202332323002 66404664646004 83005830807505 166011661615010 332023323230020