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22214124334200 = 23352531315332499
BaseRepresentation
bin1010000110100001000001…
…11111010110110001111000
32220122122112112000120011010
411003100200333112301320
510402424011312143300
6115125010002433520
74451626465234611
oct503204077266170
986578475016133
1022214124334200
117094a5907a397
1225a92b53628a0
13c51a24159a76
1456b2529ccc08
15287c912caa50
hex143420fd6c78

22214124334200 has 192 divisors, whose sum is σ = 70698711600000. Its totient is φ = 5767629836800.

The previous prime is 22214124334163. The next prime is 22214124334201. The reversal of 22214124334200 is 243342141222.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22214124334201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1499551 + ... + 6832049.

It is an arithmetic number, because the mean of its divisors is an integer number (368222456250).

Almost surely, 222214124334200 is an apocalyptic number.

22214124334200 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 22214124334200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35349355800000).

22214124334200 is an abundant number, since it is smaller than the sum of its proper divisors (48484587265800).

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

22214124334200 is a wasteful number, since it uses less digits than its factorization.

22214124334200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5332702 (or 5332693 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 22214124334200 its reverse (243342141222), we get a palindrome (22457466475422).

The spelling of 22214124334200 in words is "twenty-two trillion, two hundred fourteen billion, one hundred twenty-four million, three hundred thirty-four thousand, two hundred".