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3223133202020 = 2251921657269413
BaseRepresentation
bin101110111001110001101…
…101011010011001100100
3102102010110200202101100112
4232321301231122121210
5410301434044431040
610504404214232152
7451602150115544
oct56716155323144
912363420671315
103223133202020
111032a17735a56
124407b8955658
131a4c2b6a82a4
14b200145b324
1558c93a3a365
hex2ee71b5a664

3223133202020 has 72 divisors (see below), whose sum is σ = 7147907968824. Its totient is φ = 1220656200192.

The previous prime is 3223133201971. The next prime is 3223133202059. The reversal of 3223133202020 is 202023313223.

It can be written as a sum of positive squares in 4 ways, for example, as 903366607936 + 2319766594084 = 950456^2 + 1523078^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11828834 + ... + 12098246.

It is an arithmetic number, because the mean of its divisors is an integer number (99276499567).

Almost surely, 23223133202020 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 3223133202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573953984412).

3223133202020 is an abundant number, since it is smaller than the sum of its proper divisors (3924774766804).

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

3223133202020 is a wasteful number, since it uses less digits than its factorization.

3223133202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271117 (or 271096 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 3223133202020 its reverse (202023313223), we get a palindrome (3425156515243).

The spelling of 3223133202020 in words is "three trillion, two hundred twenty-three billion, one hundred thirty-three million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1657 1805 3314 3610 6628 7220 8285 16570 31483 33140 62966 125932 157415 269413 314830 538826 598177 629660 1077652 1196354 1347065 2392708 2694130 2990885 5118847 5388260 5981770 10237694 11963540 20475388 25594235 51188470 97258093 102376940 194516186 389032372 446417341 486290465 892834682 972580930 1785669364 1945161860 2232086705 4464173410 8481929479 8928346820 16963858958 33927717916 42409647395 84819294790 161156660101 169638589580 322313320202 644626640404 805783300505 1611566601010 3223133202020