Search a number
-
+
229013760 = 2835232593
BaseRepresentation
bin11011010011001…
…11100100000000
3120221221002211010
431221213210000
5432111420020
634420320520
75450404413
oct1551474400
9527832733
10229013760
111082aa478
1264843140
13385a5401
14225b5b7a
151518ade0
hexda67900

229013760 has 144 divisors (see below), whose sum is σ = 763507584. Its totient is φ = 58392576.

The previous prime is 229013753. The next prime is 229013761. The reversal of 229013760 is 67310922.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (229013761) 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, 87024 + ... + 89616.

It is an arithmetic number, because the mean of its divisors is an integer number (5302136).

Almost surely, 2229013760 is an apocalyptic number.

229013760 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 229013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381753792).

229013760 is an abundant number, since it is smaller than the sum of its proper divisors (534493824).

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

229013760 is a wasteful number, since it uses less digits than its factorization.

229013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 229013760 is about 15133.2005867893. The cubic root of 229013760 is about 611.8155708954.

The spelling of 229013760 in words is "two hundred twenty-nine million, thirteen thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 320 345 368 384 460 480 552 640 690 736 768 920 960 1104 1280 1380 1472 1840 1920 2208 2593 2760 2944 3680 3840 4416 5186 5520 5888 7360 7779 8832 10372 11040 12965 14720 15558 17664 20744 22080 25930 29440 31116 38895 41488 44160 51860 59639 62232 77790 82976 88320 103720 119278 124464 155580 165952 178917 207440 238556 248928 298195 311160 331904 357834 414880 477112 497856 596390 622320 663808 715668 829760 894585 954224 995712 1192780 1244640 1431336 1659520 1789170 1908448 1991424 2385560 2489280 2862672 3319040 3578340 3816896 4771120 4978560 5725344 7156680 7633792 9542240 9957120 11450688 14313360 15267584 19084480 22901376 28626720 38168960 45802752 57253440 76337920 114506880 229013760