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22130421210 = 2335347236209
BaseRepresentation
bin10100100111000100…
…110110110111011010
32010010022021212202000
4110213010312313122
5330310341434320
614055551421430
71412261322312
oct244704666732
963108255660
1022130421210
119427056007
124357524876
132118b873c1
1410dd210442
15897ce1c90
hex527136dda

22130421210 has 64 divisors (see below), whose sum is σ = 59184777600. Its totient is φ = 5884413696.

The previous prime is 22130421179. The next prime is 22130421239. The reversal of 22130421210 is 1212403122.

It is a happy number.

22130421210 is a `hidden beast` number, since 2 + 2 + 1 + 30 + 421 + 210 = 666.

It is a super-3 number, since 3×221304212103 (a number of 32 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24415 + ... + 211794.

It is an arithmetic number, because the mean of its divisors is an integer number (924762150).

Almost surely, 222130421210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22130421210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29592388800).

22130421210 is an abundant number, since it is smaller than the sum of its proper divisors (37054356390).

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

22130421210 is a wasteful number, since it uses less digits than its factorization.

22130421210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236572 (or 236566 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22130421210 its reverse (1212403122), we get a palindrome (23342824332).

The spelling of 22130421210 in words is "twenty-two billion, one hundred thirty million, four hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 347 694 1041 1735 2082 3123 3470 5205 6246 9369 10410 15615 18738 31230 46845 93690 236209 472418 708627 1181045 1417254 2125881 2362090 3543135 4251762 6377643 7086270 10629405 12755286 21258810 31888215 63776430 81964523 163929046 245893569 409822615 491787138 737680707 819645230 1229467845 1475361414 2213042121 2458935690 3688403535 4426084242 7376807070 11065210605 22130421210