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229488120 = 233351032063
BaseRepresentation
bin11011010110110…
…11010111111000
3120222211012112000
431223123113320
5432222104440
634434421000
75454421401
oct1553332770
9528735460
10229488120
111085a3904
1264a31760
13387102b4
142269a9a8
1515231730
hexdadb5f8

229488120 has 128 divisors (see below), whose sum is σ = 772761600. Its totient is φ = 60573312.

The previous prime is 229488113. The next prime is 229488131. The reversal of 229488120 is 21884922.

It is a super-2 number, since 2×2294881202 = 105329594442268800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110209 + ... + 112271.

It is an arithmetic number, because the mean of its divisors is an integer number (6037200).

Almost surely, 2229488120 is an apocalyptic number.

229488120 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 229488120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386380800).

229488120 is an abundant number, since it is smaller than the sum of its proper divisors (543273480).

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

229488120 is a wasteful number, since it uses less digits than its factorization.

229488120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 229488120 is about 15148.8653040418. The cubic root of 229488120 is about 612.2377008215.

The spelling of 229488120 in words is "two hundred twenty-nine million, four hundred eighty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 103 108 120 135 180 206 216 270 309 360 412 515 540 618 824 927 1030 1080 1236 1545 1854 2060 2063 2472 2781 3090 3708 4120 4126 4635 5562 6180 6189 7416 8252 9270 10315 11124 12360 12378 13905 16504 18540 18567 20630 22248 24756 27810 30945 37080 37134 41260 49512 55620 55701 61890 74268 82520 92835 111240 111402 123780 148536 185670 212489 222804 247560 278505 371340 424978 445608 557010 637467 742680 849956 1062445 1114020 1274934 1699912 1912401 2124890 2228040 2549868 3187335 3824802 4249780 5099736 5737203 6374670 7649604 8499560 9562005 11474406 12749340 15299208 19124010 22948812 25498680 28686015 38248020 45897624 57372030 76496040 114744060 229488120