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229706048 = 261113191321
BaseRepresentation
bin11011011000100…
…00100101000000
3121000020021110102
431230100211000
5432301043143
634443221532
75456316635
oct1554204500
9530207412
10229706048
11108732610
1264b178a8
1338788550
142271618c
15152760b8
hexdb10940

229706048 has 112 divisors (see below), whose sum is σ = 564123840. Its totient is φ = 91238400.

The previous prime is 229706047. The next prime is 229706077. The reversal of 229706048 is 840607922.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229706047) 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, 173228 + ... + 174548.

It is an arithmetic number, because the mean of its divisors is an integer number (5036820).

Almost surely, 2229706048 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 229706048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282061920).

229706048 is an abundant number, since it is smaller than the sum of its proper divisors (334417792).

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

229706048 is a wasteful number, since it uses less digits than its factorization.

229706048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 229706048 is about 15156.0564791769. The cubic root of 229706048 is about 612.4314385565.

The spelling of 229706048 in words is "two hundred twenty-nine million, seven hundred six thousand, forty-eight".

Divisors: 1 2 4 8 11 13 16 19 22 26 32 38 44 52 64 76 88 104 143 152 176 208 209 247 286 304 352 416 418 494 572 608 704 832 836 988 1144 1216 1321 1672 1976 2288 2642 2717 3344 3952 4576 5284 5434 6688 7904 9152 10568 10868 13376 14531 15808 17173 21136 21736 25099 29062 34346 42272 43472 50198 58124 68692 84544 86944 100396 116248 137384 173888 188903 200792 232496 274768 276089 326287 377806 401584 464992 549536 552178 652574 755612 803168 929984 1099072 1104356 1305148 1511224 1606336 2208712 2610296 3022448 3589157 4417424 5220592 6044896 7178314 8834848 10441184 12089792 14356628 17669696 20882368 28713256 57426512 114853024 229706048