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10022212000 = 25535942467
BaseRepresentation
bin10010101010101111…
…01101000110100000
3221212110120010021001
421111113231012200
5131011141241000
64334254441344
7503234252653
oct112527550640
927773503231
1010022212000
114283306239
121b38503254
13c39496678
146b10a589a
153d9ce946a
hex2555ed1a0

10022212000 has 96 divisors (see below), whose sum is σ = 25042530240. Its totient is φ = 3940844800.

The previous prime is 10022211989. The next prime is 10022212007. The reversal of 10022212000 is 21222001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10022212007) 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, 214767 + ... + 257233.

It is an arithmetic number, because the mean of its divisors is an integer number (260859690).

Almost surely, 210022212000 is an apocalyptic number.

10022212000 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 10022212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12521265120).

10022212000 is an abundant number, since it is smaller than the sum of its proper divisors (15020318240).

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

10022212000 is an equidigital number, since it uses as much as digits as its factorization.

10022212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42551 (or 42533 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10022212000 its reverse (21222001), we get a palindrome (10043434001).

The spelling of 10022212000 in words is "ten billion, twenty-two million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 80 100 118 125 160 200 236 250 295 400 472 500 590 800 944 1000 1180 1475 1888 2000 2360 2950 4000 4720 5900 7375 9440 11800 14750 23600 29500 42467 47200 59000 84934 118000 169868 212335 236000 339736 424670 679472 849340 1061675 1358944 1698680 2123350 2505553 3397360 4246700 5011106 5308375 6794720 8493400 10022212 10616750 12527765 16986800 20044424 21233500 25055530 33973600 40088848 42467000 50111060 62638825 80177696 84934000 100222120 125277650 169868000 200444240 250555300 313194125 400888480 501110600 626388250 1002221200 1252776500 2004442400 2505553000 5011106000 10022212000