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10432223340 = 223571179101283
BaseRepresentation
bin10011011011100111…
…10001100001101100
3222221001001212002020
421231303301201230
5132331122121330
64443102430140
7516343302210
oct115563614154
928831055066
1010432223340
114473799890
122031892350
13ca3401a26
1470d714940
15410cd9210
hex26dcf186c

10432223340 has 384 divisors, whose sum is σ = 37375672320. Its totient is φ = 2111616000.

The previous prime is 10432223309. The next prime is 10432223341. The reversal of 10432223340 is 4332223401.

It is a self number, because there is not a number n which added to its sum of digits gives 10432223340.

It is not an unprimeable number, because it can be changed into a prime (10432223341) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36862839 + ... + 36863121.

It is an arithmetic number, because the mean of its divisors is an integer number (97332480).

Almost surely, 210432223340 is an apocalyptic number.

10432223340 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 10432223340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18687836160).

10432223340 is an abundant number, since it is smaller than the sum of its proper divisors (26943448980).

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

10432223340 is a wasteful number, since it uses less digits than its factorization.

10432223340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 10432223340 its reverse (4332223401), we get a palindrome (14764446741).

The spelling of 10432223340 in words is "ten billion, four hundred thirty-two million, two hundred twenty-three thousand, three hundred forty".