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229048320 = 21635233
BaseRepresentation
bin11011010011100…
…00000000000000
3120221222212020010
431221300000000
5432114021240
634421144520
75450610234
oct1551600000
9527885203
10229048320
11108323436
126485b140
13385b8067
14225c45c4
1515196280
hexda70000

229048320 has 136 divisors (see below), whose sum is σ = 736094736. Its totient is φ = 60817408.

The previous prime is 229048291. The next prime is 229048321. The reversal of 229048320 is 23840922.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229048321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 982924 + ... + 983156.

Almost surely, 2229048320 is an apocalyptic number.

229048320 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 229048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368047368).

229048320 is an abundant number, since it is smaller than the sum of its proper divisors (507046416).

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

229048320 is an frugal number, since it uses more digits than its factorization.

229048320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 229048320 is about 15134.3424039500. The cubic root of 229048320 is about 611.8463452946.

The spelling of 229048320 in words is "two hundred twenty-nine million, forty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 233 240 256 320 384 466 480 512 640 699 768 932 960 1024 1165 1280 1398 1536 1864 1920 2048 2330 2560 2796 3072 3495 3728 3840 4096 4660 5120 5592 6144 6990 7456 7680 8192 9320 10240 11184 12288 13980 14912 15360 16384 18640 20480 22368 24576 27960 29824 30720 32768 37280 40960 44736 49152 55920 59648 61440 65536 74560 81920 89472 98304 111840 119296 122880 149120 163840 178944 196608 223680 238592 245760 298240 327680 357888 447360 477184 491520 596480 715776 894720 954368 983040 1192960 1431552 1789440 1908736 2385920 2863104 3578880 3817472 4771840 5726208 7157760 7634944 9543680 11452416 14315520 15269888 19087360 22904832 28631040 38174720 45809664 57262080 76349440 114524160 229048320