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23422211400 = 23352746112097
BaseRepresentation
bin10101110100000100…
…101001010101001000
32020110100000121202010
4111310010221111020
5340432041231100
614432055135520
71456265340420
oct256404512510
966410017663
1023422211400
119a2a256105
1246580745a0
1322936a95b3
1411c29d5480
1592140e750
hex574129548

23422211400 has 192 divisors, whose sum is σ = 83168426880. Its totient is φ = 5341593600.

The previous prime is 23422211377. The next prime is 23422211453. The reversal of 23422211400 is 411222432.

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 47 ways as a sum of consecutive naturals, for example, 1930152 + ... + 1942248.

It is an arithmetic number, because the mean of its divisors is an integer number (433168890).

Almost surely, 223422211400 is an apocalyptic number.

23422211400 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 23422211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41584213440).

23422211400 is an abundant number, since it is smaller than the sum of its proper divisors (59746215480).

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

23422211400 is a wasteful number, since it uses less digits than its factorization.

23422211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12584 (or 12575 counting only the distinct ones).

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

Adding to 23422211400 its reverse (411222432), we get a palindrome (23833433832).

The spelling of 23422211400 in words is "twenty-three billion, four hundred twenty-two million, two hundred eleven thousand, four hundred".