[go: up one dir, main page]

Search a number
-
+
229622448 = 243111947487
BaseRepresentation
bin11011010111111…
…00001010110000
3121000002000210010
431223330022300
5432240404243
634441334520
75455521126
oct1553741260
9530060703
10229622448
11108685820
1264a97440
1338759493
14226d3916
151525b433
hexdafc2b0

229622448 has 160 divisors (see below), whose sum is σ = 697098240. Its totient is φ = 64385280.

The previous prime is 229622423. The next prime is 229622473. The reversal of 229622448 is 844226922.

It is an interprime number because it is at equal distance from previous prime (229622423) and next prime (229622473).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471261 + ... + 471747.

It is an arithmetic number, because the mean of its divisors is an integer number (4356864).

Almost surely, 2229622448 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 229622448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348549120).

229622448 is an abundant number, since it is smaller than the sum of its proper divisors (467475792).

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

229622448 is a wasteful number, since it uses less digits than its factorization.

229622448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 569 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 229622448 is about 15153.2982548355. The cubic root of 229622448 is about 612.3571327481.

The spelling of 229622448 in words is "two hundred twenty-nine million, six hundred twenty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 47 48 57 66 76 88 94 114 132 141 152 176 188 209 228 264 282 304 376 418 456 487 517 528 564 627 752 836 893 912 974 1034 1128 1254 1461 1551 1672 1786 1948 2068 2256 2508 2679 2922 3102 3344 3572 3896 4136 5016 5357 5358 5844 6204 7144 7792 8272 9253 9823 10032 10714 10716 11688 12408 14288 16071 18506 19646 21428 21432 22889 23376 24816 27759 29469 32142 37012 39292 42856 42864 45778 55518 58938 64284 68667 74024 78584 85712 91556 101783 111036 117876 128568 137334 148048 157168 183112 203566 222072 235752 251779 257136 274668 305349 366224 407132 434891 444144 471504 503558 549336 610698 755337 814264 869782 1007116 1098672 1221396 1304673 1510674 1628528 1739564 2014232 2442792 2609346 3021348 3479128 4028464 4783801 4885584 5218692 6042696 6958256 9567602 10437384 12085392 14351403 19135204 20874768 28702806 38270408 57405612 76540816 114811224 229622448