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229128440 = 23531792339
BaseRepresentation
bin11011010100000…
…11100011111000
3120222010221010112
431222003203320
5432124102230
634423003452
75451362642
oct1552034370
9528127115
10229128440
11108378652
1264899588
1338615678
1422605892
15151aed95
hexda838f8

229128440 has 64 divisors (see below), whose sum is σ = 539136000. Its totient is φ = 87534720.

The previous prime is 229128439. The next prime is 229128451. The reversal of 229128440 is 44821922.

It is a happy number.

229128440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 229128397 and 229128406.

It is a congruent number.

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, 96791 + ... + 99129.

It is an arithmetic number, because the mean of its divisors is an integer number (8424000).

Almost surely, 2229128440 is an apocalyptic number.

229128440 is a gapful number since it is divisible by the number (20) 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 229128440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269568000).

229128440 is an abundant number, since it is smaller than the sum of its proper divisors (310007560).

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

229128440 is a wasteful number, since it uses less digits than its factorization.

229128440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 229128440 is about 15136.9891325851. The cubic root of 229128440 is about 611.9176772804.

The spelling of 229128440 in words is "two hundred twenty-nine million, one hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 79 124 155 158 248 310 316 395 620 632 790 1240 1580 2339 2449 3160 4678 4898 9356 9796 11695 12245 18712 19592 23390 24490 46780 48980 72509 93560 97960 145018 184781 290036 362545 369562 580072 725090 739124 923905 1450180 1478248 1847810 2900360 3695620 5728211 7391240 11456422 22912844 28641055 45825688 57282110 114564220 229128440