Search a number
-
+
23322330002320 = 245642145402449
BaseRepresentation
bin1010100110110001001110…
…01100011111001110010000
310001120121000021111110101221
411103120213030133032100
511024103112440033240
6121334044104134424
74624661036055046
oct523304714371620
9101517007443357
1023322330002320
117481a43302288
122748035167414
131002394c6835b
145a8b41bba396
152a6a02350a4a
hex15362731f390

23322330002320 has 40 divisors (see below), whose sum is σ = 54232863305400. Its totient is φ = 9327478917120.

The previous prime is 23322330002317. The next prime is 23322330002329. The reversal of 23322330002320 is 2320003322332.

It can be written as a sum of positive squares in 4 ways, for example, as 357379187344 + 22964950814976 = 597812^2 + 4792176^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×233223300023202 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23322330002329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22187545 + ... + 23214904.

It is an arithmetic number, because the mean of its divisors is an integer number (1355821582635).

Almost surely, 223322330002320 is an apocalyptic number.

23322330002320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23322330002320 is an abundant number, since it is smaller than the sum of its proper divisors (30910533303080).

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

23322330002320 is a wasteful number, since it uses less digits than its factorization.

23322330002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45408883 (or 45408877 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 25.

Adding to 23322330002320 its reverse (2320003322332), we get a palindrome (25642333324652).

The spelling of 23322330002320 in words is "twenty-three trillion, three hundred twenty-two billion, three hundred thirty million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 6421 12842 25684 32105 51368 64210 102736 128420 256840 513680 45402449 90804898 181609796 227012245 363219592 454024490 726439184 908048980 1816097960 3632195920 291529125029 583058250058 1166116500116 1457645625145 2332233000232 2915291250290 4664466000464 5830582500580 11661165001160 23322330002320