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1002223040 = 265713127271
BaseRepresentation
bin111011101111001…
…011010111000000
32120211212012112212
4323233023113000
54023032114130
6243241041252
733556520030
oct7357132700
92524765485
101002223040
11474802005
1223b786228
1312c837cb0
14971698c0
155cebee95
hex3bbcb5c0

1002223040 has 224 divisors, whose sum is σ = 2971336704. Its totient is φ = 313528320.

The previous prime is 1002222997. The next prime is 1002223043. The reversal of 1002223040 is 403222001.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002223043) 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 31 ways as a sum of consecutive naturals, for example, 3698105 + ... + 3698375.

It is an arithmetic number, because the mean of its divisors is an integer number (13264896).

Almost surely, 21002223040 is an apocalyptic number.

1002223040 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 1002223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485668352).

1002223040 is an abundant number, since it is smaller than the sum of its proper divisors (1969113664).

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

1002223040 is a wasteful number, since it uses less digits than its factorization.

1002223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1002223040 is about 31657.9064374131. The cubic root of 1002223040 is about 1000.7404649097.

Adding to 1002223040 its reverse (403222001), we get a palindrome (1405445041).

The spelling of 1002223040 in words is "one billion, two million, two hundred twenty-three thousand, forty".