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229725408 = 25311832621
BaseRepresentation
bin11011011000101…
…01010011100000
3121000021021000110
431230111103200
5432302203113
634443451320
75456430243
oct1554252340
9530237013
10229725408
11108746110
1264b26b40
13387942c3
142271d25a
151527bbc3
hexdb154e0

229725408 has 96 divisors (see below), whose sum is σ = 666029952. Its totient is φ = 68748800.

The previous prime is 229725359. The next prime is 229725427. The reversal of 229725408 is 804527922.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86338 + ... + 88958.

It is an arithmetic number, because the mean of its divisors is an integer number (6937812).

Almost surely, 2229725408 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 229725408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333014976).

229725408 is an abundant number, since it is smaller than the sum of its proper divisors (436304544).

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

229725408 is a wasteful number, since it uses less digits than its factorization.

229725408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 229725408 is about 15156.6951542874. The cubic root of 229725408 is about 612.4486436463.

The spelling of 229725408 in words is "two hundred twenty-nine million, seven hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 83 88 96 132 166 176 249 264 332 352 498 528 664 913 996 1056 1328 1826 1992 2621 2656 2739 3652 3984 5242 5478 7304 7863 7968 10484 10956 14608 15726 20968 21912 28831 29216 31452 41936 43824 57662 62904 83872 86493 87648 115324 125808 172986 217543 230648 251616 345972 435086 461296 652629 691944 870172 922592 1305258 1383888 1740344 2392973 2610516 2767776 3480688 4785946 5221032 6961376 7178919 9571892 10442064 14357838 19143784 20884128 28715676 38287568 57431352 76575136 114862704 229725408