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229709440 = 2751743491
BaseRepresentation
bin11011011000100…
…01011010000000
3121000020110010001
431230101122000
5432301200230
634443245344
75456332552
oct1554213200
9530213101
10229709440
11108735114
1264b19854
1338789c5c
14227174d2
15152770ca
hexdb11680

229709440 has 128 divisors (see below), whose sum is σ = 596185920. Its totient is φ = 84295680.

The previous prime is 229709437. The next prime is 229709443. The reversal of 229709440 is 44907922.

It is an interprime number because it is at equal distance from previous prime (229709437) and next prime (229709443).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2297094402 = 105532853650227200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 229709440.

It is not an unprimeable number, because it can be changed into a prime (229709443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467595 + ... + 468085.

Almost surely, 2229709440 is an apocalyptic number.

229709440 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 229709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298092960).

229709440 is an abundant number, since it is smaller than the sum of its proper divisors (366476480).

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

229709440 is a wasteful number, since it uses less digits than its factorization.

229709440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 229709440 is about 15156.1683812235. The cubic root of 229709440 is about 612.4344530718.

The spelling of 229709440 in words is "two hundred twenty-nine million, seven hundred nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 43 64 68 80 85 86 128 136 160 170 172 215 272 320 340 344 430 491 544 640 680 688 731 860 982 1088 1360 1376 1462 1720 1964 2176 2455 2720 2752 2924 3440 3655 3928 4910 5440 5504 5848 6880 7310 7856 8347 9820 10880 11696 13760 14620 15712 16694 19640 21113 23392 27520 29240 31424 33388 39280 41735 42226 46784 58480 62848 66776 78560 83470 84452 93568 105565 116960 133552 157120 166940 168904 211130 233920 267104 314240 333880 337808 358921 422260 467840 534208 667760 675616 717842 844520 1068416 1335520 1351232 1435684 1689040 1794605 2671040 2702464 2871368 3378080 3589210 5342080 5742736 6756160 7178420 11485472 13512320 14356840 22970944 28713680 45941888 57427360 114854720 229709440