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228833937216 = 263454498101
BaseRepresentation
bin1101010100011110010…
…0001100011101000000
3210212122211102110110000
43111013210030131000
512222122441442331
6253042545240000
722350501241623
oct3250744143500
9725584373400
10228833937216
1189058878a85
1238424033000
131876ac42ba1
14b10b711dba
155e44a180e6
hex354790c740

228833937216 has 140 divisors (see below), whose sum is σ = 678543715300. Its totient is φ = 76254566400.

The previous prime is 228833937109. The next prime is 228833937323. The reversal of 228833937216 is 612739338822.

228833937216 is a `hidden beast` number, since 2 + 288 + 339 + 3 + 7 + 21 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (228833937109) and next prime (228833937323).

It can be written as a sum of positive squares in 2 ways, for example, as 148767575616 + 80066361600 = 385704^2 + 282960^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28243566 + ... + 28251666.

Almost surely, 2228833937216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228833937216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339271857650).

228833937216 is an abundant number, since it is smaller than the sum of its proper divisors (449709778084).

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

228833937216 is an equidigital number, since it uses as much as digits as its factorization.

228833937216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13574 (or 13555 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 228833937216 in words is "two hundred twenty-eight billion, eight hundred thirty-three million, nine hundred thirty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 5449 8101 10898 16202 16347 21796 24303 32404 32694 43592 48606 49041 64808 65388 72909 87184 97212 98082 129616 130776 145818 147123 174368 194424 196164 218727 259232 261552 291636 294246 348736 388848 392328 437454 441369 518464 523104 583272 588492 656181 777696 784656 874908 882738 1046208 1166544 1176984 1312362 1555392 1569312 1749816 1765476 2333088 2353968 2624724 3138624 3499632 3530952 4666176 4707936 5249448 6999264 7061904 9415872 10498896 13998528 14123808 20997792 28247616 41995584 44142349 88284698 132427047 176569396 264854094 353138792 397281141 529708188 706277584 794562282 1059416376 1191843423 1412555168 1589124564 2118832752 2383686846 2825110336 3178249128 3575530269 4237665504 4767373692 6356498256 7151060538 8475331008 9534747384 12712996512 14302121076 19069494768 25425993024 28604242152 38138989536 57208484304 76277979072 114416968608 228833937216