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22214533440 = 2635112391463
BaseRepresentation
bin10100101100000101…
…101110000101000000
32010100011120020000210
4110230011232011000
5330443410032230
614112154314120
71414332263421
oct245405560500
963304506023
1022214533440
11946a585850
12437b728940
132130427458
14110a467648
158a03a8eb0
hex52c16e140

22214533440 has 224 divisors, whose sum is σ = 80289294336. Its totient is φ = 5151139840.

The previous prime is 22214533427. The next prime is 22214533441. The reversal of 22214533440 is 4433541222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22214533398 and 22214533407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22214533441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197149 + ... + 288611.

Almost surely, 222214533440 is an apocalyptic number.

22214533440 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 22214533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40144647168).

22214533440 is an abundant number, since it is smaller than the sum of its proper divisors (58074760896).

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

22214533440 is a wasteful number, since it uses less digits than its factorization.

22214533440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91517 (or 91507 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 22214533440 in words is "twenty-two billion, two hundred fourteen million, five hundred thirty-three thousand, four hundred forty".