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229910640 = 243519127397
BaseRepresentation
bin11011011010000…
…10100001110000
3121000121200002220
431231002201300
5432324120030
634451441040
75461131261
oct1555024160
9530550086
10229910640
111088622a3
1264bb6180
133882a6cb
142276a968
15152b6a10
hexdb42870

229910640 has 160 divisors (see below), whose sum is σ = 758046720. Its totient is φ = 57480192.

The previous prime is 229910573. The next prime is 229910641. The reversal of 229910640 is 46019922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229910641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578922 + ... + 579318.

It is an arithmetic number, because the mean of its divisors is an integer number (4737792).

Almost surely, 2229910640 is an apocalyptic number.

229910640 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 229910640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379023360).

229910640 is an abundant number, since it is smaller than the sum of its proper divisors (528136080).

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

229910640 is a wasteful number, since it uses less digits than its factorization.

229910640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 229910640 is about 15162.8044899352. The cubic root of 229910640 is about 612.6132091172.

The spelling of 229910640 in words is "two hundred twenty-nine million, nine hundred ten thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 127 152 190 228 240 254 285 304 380 381 397 456 508 570 635 760 762 794 912 1016 1140 1191 1270 1520 1524 1588 1905 1985 2032 2280 2382 2413 2540 3048 3176 3810 3970 4560 4764 4826 5080 5955 6096 6352 7239 7543 7620 7940 9528 9652 10160 11910 12065 14478 15086 15240 15880 19056 19304 22629 23820 24130 28956 30172 30480 31760 36195 37715 38608 45258 47640 48260 50419 57912 60344 72390 75430 90516 95280 96520 100838 113145 115824 120688 144780 150860 151257 181032 193040 201676 226290 252095 289560 301720 302514 362064 403352 452580 504190 579120 603440 605028 756285 806704 905160 957961 1008380 1210056 1512570 1810320 1915922 2016760 2420112 2873883 3025140 3831844 4033520 4789805 5747766 6050280 7663688 9579610 11495532 12100560 14369415 15327376 19159220 22991064 28738830 38318440 45982128 57477660 76636880 114955320 229910640