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21222201000 = 233537111337191
BaseRepresentation
bin10011110000111100…
…010001011010101000
32000210000022111211110
4103300330101122220
5321430340413000
613425505230320
71350622506060
oct236074213250
960700274743
1021222201000
1190004197a0
1241433323a0
1320029732b0
1410547543a0
158431de850
hex4f0f116a8

21222201000 has 1024 divisors, whose sum is σ = 91782512640. Its totient is φ = 3939840000.

The previous prime is 21222200983. The next prime is 21222201047. The reversal of 21222201000 is 10222212.

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 255 ways as a sum of consecutive naturals, for example, 111110905 + ... + 111111095.

It is an arithmetic number, because the mean of its divisors is an integer number (89631360).

Almost surely, 221222201000 is an apocalyptic number.

21222201000 is a gapful number since it is divisible by the number (20) 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 21222201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45891256320).

21222201000 is an abundant number, since it is smaller than the sum of its proper divisors (70560311640).

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

21222201000 is a wasteful number, since it uses less digits than its factorization.

21222201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 269 counting only the distinct ones).

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

Adding to 21222201000 its reverse (10222212), we get a palindrome (21232423212).

It can be divided in two parts, 21222 and 201000, that added together give a palindrome (222222).

The spelling of 21222201000 in words is "twenty-one billion, two hundred twenty-two million, two hundred one thousand".