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233029896 = 233114121529
BaseRepresentation
bin11011110001111…
…00000100001000
3121020111010220220
431320330010020
5434123424041
635042350040
75526502311
oct1570740410
9536433826
10233029896
1110a5a28a0
126605b320
1339380418
1422d3d608
15156d0d66
hexde3c108

233029896 has 64 divisors (see below), whose sum is σ = 651067200. Its totient is φ = 68889600.

The previous prime is 233029879. The next prime is 233029933. The reversal of 233029896 is 698920332.

233029896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60 + ... + 21588.

It is an arithmetic number, because the mean of its divisors is an integer number (10172925).

Almost surely, 2233029896 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 233029896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325533600).

233029896 is an abundant number, since it is smaller than the sum of its proper divisors (418037304).

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

233029896 is a wasteful number, since it uses less digits than its factorization.

233029896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21590 (or 21586 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 233029896 is about 15265.3167671031. The cubic root of 233029896 is about 615.3712663418.

The spelling of 233029896 in words is "two hundred thirty-three million, twenty-nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 902 984 1353 1804 2706 3608 5412 10824 21529 43058 64587 86116 129174 172232 236819 258348 473638 516696 710457 882689 947276 1420914 1765378 1894552 2648067 2841828 3530756 5296134 5683656 7061512 9709579 10592268 19419158 21184536 29128737 38838316 58257474 77676632 116514948 233029896