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10002219990 = 2357233797577
BaseRepresentation
bin10010101000010110…
…11100001111010110
3221211001221102101020
421110023130033112
5130441032014430
64332302142010
7502602316140
oct112413341726
927731842336
1010002219990
114272aa0a14
121b31881906
13c352b6a89
146ac57dc90
153d819ab10
hex2542dc3d6

10002219990 has 256 divisors, whose sum is σ = 29755772928. Its totient is φ = 2102132736.

The previous prime is 10002219979. The next prime is 10002219991. The reversal of 10002219990 is 9991220001.

10002219990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002219991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17334582 + ... + 17335158.

It is an arithmetic number, because the mean of its divisors is an integer number (116233488).

Almost surely, 210002219990 is an apocalyptic number.

10002219990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002219990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14877886464).

10002219990 is an abundant number, since it is smaller than the sum of its proper divisors (19753552938).

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

10002219990 is a wasteful number, since it uses less digits than its factorization.

10002219990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751.

The product of its (nonzero) digits is 2916, while the sum is 33.

Adding to 10002219990 its reverse (9991220001), we get a palindrome (19993439991).

The spelling of 10002219990 in words is "ten billion, two million, two hundred nineteen thousand, nine hundred ninety".