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23211220000 = 25541497789
BaseRepresentation
bin10101100111011111…
…110001110000100000
32012220122000010221211
4111213133301300200
5340014033020000
614355120555504
71451124054223
oct254737616040
965818003854
1023211220000
119931146151
1245b9482b94
13225ba74407
1411a29915ba
1590cb337ba
hex5677f1c20

23211220000 has 120 divisors (see below), whose sum is σ = 57493705500. Its totient is φ = 9220992000.

The previous prime is 23211219949. The next prime is 23211220001. The reversal of 23211220000 is 2211232.

It can be written as a sum of positive squares in 10 ways, for example, as 4500263056 + 18710956944 = 67084^2 + 136788^2 .

It is not an unprimeable number, because it can be changed into a prime (23211220001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2976106 + ... + 2983894.

Almost surely, 223211220000 is an apocalyptic number.

23211220000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23211220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28746852750).

23211220000 is an abundant number, since it is smaller than the sum of its proper divisors (34282485500).

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

23211220000 is an equidigital number, since it uses as much as digits as its factorization.

23211220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7968 (or 7945 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 23211220000 its reverse (2211232), we get a palindrome (23213431232).

The spelling of 23211220000 in words is "twenty-three billion, two hundred eleven million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 149 160 200 250 298 400 500 596 625 745 800 1000 1192 1250 1490 2000 2384 2500 2980 3725 4000 4768 5000 5960 7450 7789 10000 11920 14900 15578 18625 20000 23840 29800 31156 37250 38945 59600 62312 74500 77890 93125 119200 124624 149000 155780 186250 194725 249248 298000 311560 372500 389450 596000 623120 745000 778900 973625 1160561 1246240 1490000 1557800 1947250 2321122 2980000 3115600 3894500 4642244 4868125 5802805 6231200 7789000 9284488 9736250 11605610 15578000 18568976 19472500 23211220 29014025 31156000 37137952 38945000 46422440 58028050 77890000 92844880 116056100 145070125 155780000 185689760 232112200 290140250 464224400 580280500 725350625 928448800 1160561000 1450701250 2321122000 2901402500 4642244000 5802805000 11605610000 23211220000