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10224420333400 = 23527132172541997
BaseRepresentation
bin1001010011001000111011…
…1100010010011101011000
31100012110000102200102001101
42110302032330102131120
52320004103101132100
633425011151401144
72103455444611510
oct224621674223530
940173012612041
1010224420333400
113292174801139
1211916898231b4
1359220a884400
14274c165c4840
1512ae6223686a
hex94c8ef12758

10224420333400 has 288 divisors, whose sum is σ = 31148830052640. Its totient is φ = 3045514567680.

The previous prime is 10224420333353. The next prime is 10224420333401. The reversal of 10224420333400 is 433302442201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224420333401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2751202 + ... + 5293198.

It is an arithmetic number, because the mean of its divisors is an integer number (108155659905).

Almost surely, 210224420333400 is an apocalyptic number.

10224420333400 is a gapful number since it is divisible by the number (10) 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 10224420333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15574415026320).

10224420333400 is an abundant number, since it is smaller than the sum of its proper divisors (20924409719240).

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

10224420333400 is a wasteful number, since it uses less digits than its factorization.

10224420333400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542063 (or 2542041 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 10224420333400 its reverse (433302442201), we get a palindrome (10657722775601).

The spelling of 10224420333400 in words is "ten trillion, two hundred twenty-four billion, four hundred twenty million, three hundred thirty-three thousand, four hundred".