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10222441320 = 23357131376833
BaseRepresentation
bin10011000010100111…
…00001001101101000
3222101102022211020210
421201103201031220
5131413421110240
64410210221120
7511215213630
oct114123411550
928342284223
1010222441320
114376335513
121b935847a0
13c6bb01160
146cd9076c0
153ec69b780
hex2614e1368

10222441320 has 256 divisors, whose sum is σ = 38025469440. Its totient is φ = 2140766208.

The previous prime is 10222441283. The next prime is 10222441367. The reversal of 10222441320 is 2314422201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1492624 + ... + 1499456.

It is an arithmetic number, because the mean of its divisors is an integer number (148536990).

Almost surely, 210222441320 is an apocalyptic number.

10222441320 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 10222441320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19012734720).

10222441320 is an abundant number, since it is smaller than the sum of its proper divisors (27803028120).

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

10222441320 is a wasteful number, since it uses less digits than its factorization.

10222441320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7004 (or 7000 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10222441320 its reverse (2314422201), we get a palindrome (12536863521).

The spelling of 10222441320 in words is "ten billion, two hundred twenty-two million, four hundred forty-one thousand, three hundred twenty".