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233421696 = 27331729137
BaseRepresentation
bin11011110100110…
…11101110000000
3121021020001101000
431322123232000
5434223443241
635055012000
75533023504
oct1572335600
9537201330
10233421696
1110a8401a2
126620a000
1339489861
1423002304
151575beb6
hexde9bb80

233421696 has 256 divisors, whose sum is σ = 760104000. Its totient is φ = 70189056.

The previous prime is 233421691. The next prime is 233421697. The reversal of 233421696 is 696124332.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 233421696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233421691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1703740 + ... + 1703876.

Almost surely, 2233421696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233421696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380052000).

233421696 is an abundant number, since it is smaller than the sum of its proper divisors (526682304).

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

233421696 is a wasteful number, since it uses less digits than its factorization.

233421696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 188 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 233421696 is about 15278.1443899447. The cubic root of 233421696 is about 615.7159538235.

The spelling of 233421696 in words is "two hundred thirty-three million, four hundred twenty-one thousand, six hundred ninety-six".