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22051223040 = 29357311761
BaseRepresentation
bin10100100010010110…
…101111011000000000
32002220210021012021110
4110202112233120000
5330130103114130
614044042123320
71410310206000
oct244226573000
962823235243
1022051223040
119396382280
124334ab0540
132105647c92
1410d28b6000
15890d9aab0
hex5225af600

22051223040 has 640 divisors, whose sum is σ = 89801395200. Its totient is φ = 4576051200.

The previous prime is 22051223023. The next prime is 22051223059. The reversal of 22051223040 is 4032215022.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 22051222998 and 22051223016.

It is a congruent number.

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, 28976260 + ... + 28977020.

It is an arithmetic number, because the mean of its divisors is an integer number (140314680).

Almost surely, 222051223040 is an apocalyptic number.

22051223040 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 22051223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44900697600).

22051223040 is an abundant number, since it is smaller than the sum of its proper divisors (67750172160).

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

22051223040 is an equidigital number, since it uses as much as digits as its factorization.

22051223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 22051223040 its reverse (4032215022), we get a palindrome (26083438062).

The spelling of 22051223040 in words is "twenty-two billion, fifty-one million, two hundred twenty-three thousand, forty".