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10222120200 = 2335217398479
BaseRepresentation
bin10011000010100100…
…10010110100001000
3222101101201111202110
421201102102310020
5131413330321300
64410155302320
7511212405465
oct114122226410
928341644673
1010222120200
114376136226
121b9344a9a0
13c6ba1ac46
146cd86266c
153ec636550
hex261492d08

10222120200 has 96 divisors (see below), whose sum is σ = 31872067200. Its totient is φ = 2710114560.

The previous prime is 10222120199. The next prime is 10222120219. The reversal of 10222120200 is 202122201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54561 + ... + 153039.

It is an arithmetic number, because the mean of its divisors is an integer number (332000700).

Almost surely, 210222120200 is an apocalyptic number.

10222120200 is a gapful number since it is divisible by the number (10) 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 10222120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936033600).

10222120200 is an abundant number, since it is smaller than the sum of its proper divisors (21649947000).

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

10222120200 is a wasteful number, since it uses less digits than its factorization.

10222120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98671 (or 98662 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10222120200 its reverse (202122201), we get a palindrome (10424242401).

The spelling of 10222120200 in words is "ten billion, two hundred twenty-two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 173 200 300 346 519 600 692 865 1038 1384 1730 2076 2595 3460 4152 4325 5190 6920 8650 10380 12975 17300 20760 25950 34600 51900 98479 103800 196958 295437 393916 492395 590874 787832 984790 1181748 1477185 1969580 2363496 2461975 2954370 3939160 4923950 5908740 7385925 9847900 11817480 14771850 17036867 19695800 29543700 34073734 51110601 59087400 68147468 85184335 102221202 136294936 170368670 204442404 255553005 340737340 408884808 425921675 511106010 681474680 851843350 1022212020 1277765025 1703686700 2044424040 2555530050 3407373400 5111060100 10222120200