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2263998352 = 2472111941337
BaseRepresentation
bin1000011011110001…
…1101111110010000
312211210010000212211
42012330131332100
514114040421402
61012353201504
7110050445200
oct20674357620
95753100784
102263998352
11a61a71520
12532260294
132a107b4c5
1417697a400
15d3b5e4d7
hex86f1df90

2263998352 has 240 divisors, whose sum is σ = 6020239680. Its totient is φ = 812851200.

The previous prime is 2263998349. The next prime is 2263998367. The reversal of 2263998352 is 2538993622.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 2263998296 and 2263998305.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6717928 + ... + 6718264.

It is an arithmetic number, because the mean of its divisors is an integer number (25084332).

Almost surely, 22263998352 is an apocalyptic number.

2263998352 is a gapful number since it is divisible by the number (22) 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 2263998352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010119840).

2263998352 is an abundant number, since it is smaller than the sum of its proper divisors (3756241328).

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

2263998352 is a wasteful number, since it uses less digits than its factorization.

2263998352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 417 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 49.

The square root of 2263998352 is about 47581.4916958264. The cubic root of 2263998352 is about 1313.0825668648.

The spelling of 2263998352 in words is "two billion, two hundred sixty-three million, nine hundred ninety-eight thousand, three hundred fifty-two".