Search a number
-
+
20223322272 = 253336596397
BaseRepresentation
bin10010110101011001…
…110110100010100000
31221012101202012211000
4102311121312202200
5312404132303042
613142423552000
71314103255146
oct226531664240
957171665730
1020223322272
1186385a138a
123b048bb600
131ba3a395aa
14d9bc19596
157d568074c
hex4b56768a0

20223322272 has 96 divisors (see below), whose sum is σ = 59010033600. Its totient is φ = 6738211584.

The previous prime is 20223322271. The next prime is 20223322319. The reversal of 20223322272 is 27222332202.

20223322272 is a `hidden beast` number, since 202 + 233 + 2 + 227 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20223322271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3158178 + ... + 3164574.

It is an arithmetic number, because the mean of its divisors is an integer number (614687850).

Almost surely, 220223322272 is an apocalyptic number.

It is an amenable number.

20223322272 is an abundant number, since it is smaller than the sum of its proper divisors (38786711328).

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

20223322272 is a wasteful number, since it uses less digits than its factorization.

20223322272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10075 (or 10061 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

Adding to 20223322272 its reverse (27222332202), we get a palindrome (47445654474).

The spelling of 20223322272 in words is "twenty billion, two hundred twenty-three million, three hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 3659 6397 7318 10977 12794 14636 19191 21954 25588 29272 32931 38382 43908 51176 57573 58544 65862 76764 87816 98793 102352 115146 117088 131724 153528 172719 175632 197586 204704 230292 263448 307056 345438 351264 395172 460584 526896 614112 690876 790344 921168 1053792 1381752 1580688 1842336 2763504 3161376 5527008 23406623 46813246 70219869 93626492 140439738 187252984 210659607 280879476 374505968 421319214 561758952 631978821 749011936 842638428 1123517904 1263957642 1685276856 2247035808 2527915284 3370553712 5055830568 6741107424 10111661136 20223322272