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22201201000 = 23531121743251
BaseRepresentation
bin10100101011010010…
…110111000101101000
32010022020110212100201
4110223102313011220
5330432001413000
614111000441544
71414111044346
oct245322670550
963266425321
1022201201000
119462aa9a00
1243771792b4
13212a739b34
141108796996
1589e12396a
hex52b4b7168

22201201000 has 384 divisors, whose sum is σ = 62114532480. Its totient is φ = 7392000000.

The previous prime is 22201200979. The next prime is 22201201031. The reversal of 22201201000 is 10210222.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88450875 + ... + 88451125.

It is an arithmetic number, because the mean of its divisors is an integer number (161756595).

Almost surely, 222201201000 is an apocalyptic number.

22201201000 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 22201201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31057266240).

22201201000 is an abundant number, since it is smaller than the sum of its proper divisors (39913331480).

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

22201201000 is a wasteful number, since it uses less digits than its factorization.

22201201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 329 counting only the distinct ones).

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

Adding to 22201201000 its reverse (10210222), we get a palindrome (22211411222).

The spelling of 22201201000 in words is "twenty-two billion, two hundred one million, two hundred one thousand".