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228799588900 = 225231215432
BaseRepresentation
bin1101010100010110000…
…1001010101000100100
3210212120102210101102011
43111011201022220210
512222040143321100
6253035321124004
722346603263021
oct3250541125044
9725512711364
10228799588900
1189040448643
1238414629604
1318763aa793c
14b106d30548
155e419d0bba
hex354584aa24

228799588900 has 81 divisors (see below), whose sum is σ = 513360426033. Its totient is φ = 88510183200.

The previous prime is 228799588867. The next prime is 228799588903. The reversal of 228799588900 is 9885997822.

The square root of 228799588900 is 478330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 82367852004 + 146431736896 = 286998^2 + 382664^2 .

It is not an unprimeable number, because it can be changed into a prime (228799588903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 148281529 + ... + 148283071.

Almost surely, 2228799588900 is an apocalyptic number.

228799588900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

228799588900 is the 478330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228799588900

228799588900 is an abundant number, since it is smaller than the sum of its proper divisors (284560837133).

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

228799588900 is an equidigital number, since it uses as much as digits as its factorization.

228799588900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 67.

The spelling of 228799588900 in words is "two hundred twenty-eight billion, seven hundred ninety-nine million, five hundred eighty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 961 1543 1550 1922 3086 3100 3844 4805 6172 7715 9610 15430 19220 24025 30860 38575 47833 48050 77150 95666 96100 154300 191332 239165 478330 956660 1195825 1482823 2380849 2391650 2965646 4761698 4783300 5931292 7414115 9523396 11904245 14828230 23808490 29656460 37070575 47616980 59521225 73806319 74141150 119042450 147612638 148282300 238084900 295225276 369031595 738063190 1476126380 1845157975 2287995889 3690315950 4575991778 7380631900 9151983556 11439979445 22879958890 45759917780 57199897225 114399794450 228799588900