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229788480 = 2635594057
BaseRepresentation
bin11011011001001…
…00101101000000
3121000101110112110
431230210231000
5432311212410
634445055320
75460112155
oct1554445500
9530343473
10229788480
11108789539
1264b57540
13387b6c1c
142273822c
1515290720
hexdb24b40

229788480 has 112 divisors (see below), whose sum is σ = 742127040. Its totient is φ = 60223488.

The previous prime is 229788479. The next prime is 229788487. The reversal of 229788480 is 84887922.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229788487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54612 + ... + 58668.

Almost surely, 2229788480 is an apocalyptic number.

229788480 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 229788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371063520).

229788480 is an abundant number, since it is smaller than the sum of its proper divisors (512338560).

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

229788480 is a wasteful number, since it uses less digits than its factorization.

229788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4136 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 229788480 is about 15158.7756761554. The cubic root of 229788480 is about 612.5046885661.

The spelling of 229788480 in words is "two hundred twenty-nine million, seven hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 64 80 96 118 120 160 177 192 236 240 295 320 354 472 480 590 708 885 944 960 1180 1416 1770 1888 2360 2832 3540 3776 4057 4720 5664 7080 8114 9440 11328 12171 14160 16228 18880 20285 24342 28320 32456 40570 48684 56640 60855 64912 81140 97368 121710 129824 162280 194736 239363 243420 259648 324560 389472 478726 486840 649120 718089 778944 957452 973680 1196815 1298240 1436178 1914904 1947360 2393630 2872356 3590445 3829808 3894720 4787260 5744712 7180890 7659616 9574520 11489424 14361780 15319232 19149040 22978848 28723560 38298080 45957696 57447120 76596160 114894240 229788480