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10222010020008 = 233543401304949
BaseRepresentation
bin1001010010111111111101…
…0001101011000010101000
31100012012210110020210200000
42110233333101223002220
52314434134031120013
633423532050143000
72103341636361663
oct224577721530250
940165713223600
1010222010020008
113291148194aa6
121191116581a60
13591c153c7377
14274a6843c6da
1512ad70824973
hex94bff46b0a8

10222010020008 has 192 divisors, whose sum is σ = 29450997576000. Its totient is φ = 3319785907200.

The previous prime is 10222010019989. The next prime is 10222010020009. The reversal of 10222010020008 is 80002001022201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10222010020009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33367918 + ... + 33672866.

It is an arithmetic number, because the mean of its divisors is an integer number (153390612375).

Almost surely, 210222010020008 is an apocalyptic number.

10222010020008 is a gapful number since it is divisible by the number (18) 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 10222010020008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14725498788000).

10222010020008 is an abundant number, since it is smaller than the sum of its proper divisors (19228987555992).

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

10222010020008 is a wasteful number, since it uses less digits than its factorization.

10222010020008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305414 (or 305398 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10222010020008 its reverse (80002001022201), we get a palindrome (90224011042209).

The spelling of 10222010020008 in words is "ten trillion, two hundred twenty-two billion, ten million, twenty thousand, eight".