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10222936150896 = 243375477398363
BaseRepresentation
bin1001010011000011011001…
…1110100101001101110000
31100012022011222221010102000
42110300312132211031300
52314443033123312041
633424204012254000
72103403613353020
oct224606636451560
940168158833360
1010222936150896
113291582a44927
121191334771300
1359203223c901
14274b1543ba80
1512adc6cb3bb6
hex94c367a5370

10222936150896 has 320 divisors, whose sum is σ = 33646351257600. Its totient is φ = 2911205816064.

The previous prime is 10222936150781. The next prime is 10222936150901. The reversal of 10222936150896 is 69805163922201.

10222936150896 is a `hidden beast` number, since 1 + 0 + 2 + 229 + 361 + 50 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1222396411 + ... + 1222404773.

It is an arithmetic number, because the mean of its divisors is an integer number (105144847680).

Almost surely, 210222936150896 is an apocalyptic number.

10222936150896 is a gapful number since it is divisible by the number (16) 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 10222936150896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16823175628800).

10222936150896 is an abundant number, since it is smaller than the sum of its proper divisors (23423415106704).

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

10222936150896 is a wasteful number, since it uses less digits than its factorization.

10222936150896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9673 (or 9661 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 10222936150896 in words is "ten trillion, two hundred twenty-two billion, nine hundred thirty-six million, one hundred fifty thousand, eight hundred ninety-six".