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233999838 = 232233891453
BaseRepresentation
bin11011111001010…
…00110111011110
3121022022102102200
431330220313132
5434400443323
635115232330
75540652162
oct1574506736
9538272380
10233999838
111100a55a6
12664486a6
133962ca57
1423112ca2
1515823443
hexdf28dde

233999838 has 48 divisors (see below), whose sum is σ = 530768160. Its totient is φ = 74365632.

The previous prime is 233999837. The next prime is 233999863. The reversal of 233999838 is 838999332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233999837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160320 + ... + 161772.

It is an arithmetic number, because the mean of its divisors is an integer number (11057670).

Almost surely, 2233999838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233999838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265384080).

233999838 is an abundant number, since it is smaller than the sum of its proper divisors (296768322).

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

233999838 is a wasteful number, since it uses less digits than its factorization.

233999838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1870 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 233999838 is about 15297.0532456418. The cubic root of 233999838 is about 616.2238725693.

The spelling of 233999838 in words is "two hundred thirty-three million, nine hundred ninety-nine thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 389 414 778 1167 1453 2334 2906 3501 4359 7002 8718 8947 13077 17894 26154 26841 33419 53682 66838 80523 100257 161046 200514 300771 565217 601542 1130434 1695651 3391302 5086953 10173906 12999991 25999982 38999973 77999946 116999919 233999838