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22440400404422 = 2711413101199419
BaseRepresentation
bin1010001101000110100000…
…00110000011111111000110
32221110021121002100220201112
411012203100012003333012
510420130420000420142
6115420551100125022
74504160020136420
oct506432006037706
987407532326645
1022440400404422
117171a14010000
122625124836772
13c6a17518c390
1457819a709810
1528dad6487382
hex1468d0183fc6

22440400404422 has 320 divisors, whose sum is σ = 46363847040000. Its totient is φ = 7931439648000.

The previous prime is 22440400404407. The next prime is 22440400404427.

22440400404422 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×224404004044222 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22440400404427) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 53557041329 + ... + 53557041747.

It is an arithmetic number, because the mean of its divisors is an integer number (144887022000).

Almost surely, 222440400404422 is an apocalyptic number.

22440400404422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22440400404422 is an abundant number, since it is smaller than the sum of its proper divisors (23923446635578).

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

22440400404422 is a wasteful number, since it uses less digits than its factorization.

22440400404422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

It can be divided in two parts, 22440400 and 404422, that added together give a palindrome (22844822).

The spelling of 22440400404422 in words is "twenty-two trillion, four hundred forty billion, four hundred million, four hundred four thousand, four hundred twenty-two".