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22141142010 = 232513130714479
BaseRepresentation
bin10100100111101101…
…110000001111111010
32010011001110112220200
4110213231300033322
5330321113021020
614101013303030
71412451413301
oct244755601772
963131415820
1022141142010
119432108779
12435b034a76
13211b16c080
141100801438
15898c0d590
hex527b703fa

22141142010 has 96 divisors (see below), whose sum is σ = 62046915840. Its totient is φ = 5445581184.

The previous prime is 22141142003. The next prime is 22141142011. The reversal of 22141142010 is 1024114122.

22141142010 is a `hidden beast` number, since 221 + 4 + 11 + 420 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22141142011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1521951 + ... + 1536429.

It is an arithmetic number, because the mean of its divisors is an integer number (646322040).

Almost surely, 222141142010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22141142010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31023457920).

22141142010 is an abundant number, since it is smaller than the sum of its proper divisors (39905773830).

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

22141142010 is a wasteful number, since it uses less digits than its factorization.

22141142010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15812 (or 15809 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22141142010 its reverse (1024114122), we get a palindrome (23165256132).

The spelling of 22141142010 in words is "twenty-two billion, one hundred forty-one million, one hundred forty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 1307 2614 3921 6535 7842 11763 13070 14479 16991 19605 23526 28958 33982 39210 43437 50973 58815 72395 84955 86874 101946 117630 130311 144790 152919 169910 188227 217185 254865 260622 305838 376454 434370 509730 564681 651555 764595 941135 1129362 1303110 1529190 1694043 1882270 2823405 3388086 5646810 8470215 16940430 18924053 37848106 56772159 94620265 113544318 170316477 189240530 246012689 283860795 340632954 492025378 567721590 738038067 851582385 1230063445 1476076134 1703164770 2214114201 2460126890 3690190335 4428228402 7380380670 11070571005 22141142010