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229148204256 = 2534401921997
BaseRepresentation
bin1101010101101001001…
…1000001110011100000
3210220110201202212210000
43111122103001303200
512223243420014011
6253134053140000
722361335412226
oct3253223016340
9726421685700
10229148204256
11891aa207504
12384b132a600
13187bb09780a
14b13b35ab16
155e623e4356
hex355a4c1ce0

229148204256 has 120 divisors (see below), whose sum is σ = 674116831080. Its totient is φ = 76360257792.

The previous prime is 229148204209. The next prime is 229148204273. The reversal of 229148204256 is 652402841922.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10406250 + ... + 10428246.

It is an arithmetic number, because the mean of its divisors is an integer number (5617640259).

Almost surely, 2229148204256 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 229148204256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337058415540).

229148204256 is an abundant number, since it is smaller than the sum of its proper divisors (444968626824).

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

229148204256 is a wasteful number, since it uses less digits than its factorization.

229148204256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26038 (or 26021 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 229148204256 in words is "two hundred twenty-nine billion, one hundred forty-eight million, two hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 4019 8038 12057 16076 21997 24114 32152 36171 43994 48228 64304 65991 72342 87988 96456 108513 128608 131982 144684 175976 192912 197973 217026 263964 289368 325539 351952 385824 395946 434052 527928 578736 593919 651078 703904 791892 868104 1055856 1157472 1187838 1302156 1583784 1736208 1781757 2111712 2375676 2604312 3167568 3472416 3563514 4751352 5208624 6335136 7127028 9502704 10417248 14254056 19005408 28508112 57016224 88405943 176811886 265217829 353623772 530435658 707247544 795653487 1060871316 1414495088 1591306974 2121742632 2386960461 2828990176 3182613948 4243485264 4773920922 6365227896 7160881383 8486970528 9547841844 12730455792 14321762766 19095683688 25460911584 28643525532 38191367376 57287051064 76382734752 114574102128 229148204256