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2269467312 = 243719433821
BaseRepresentation
bin1000011101000101…
…0101001010110000
312212011101212212220
42013101111022300
514121440423222
61013110321040
7110145103530
oct20721251260
95764355786
102269467312
11a65067422
12534059180
132a2244888
141775a14c0
15d438eb5c
hex874552b0

2269467312 has 160 divisors (see below), whose sum is σ = 7077880320. Its totient is φ = 612126720.

The previous prime is 2269467307. The next prime is 2269467341. The reversal of 2269467312 is 2137649622.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2763862 + ... + 2764682.

It is an arithmetic number, because the mean of its divisors is an integer number (44236752).

Almost surely, 22269467312 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 2269467312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538940160).

2269467312 is an abundant number, since it is smaller than the sum of its proper divisors (4808413008).

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

2269467312 is a wasteful number, since it uses less digits than its factorization.

2269467312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1285 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 2269467312 is about 47638.9264362664. The cubic root of 2269467312 is about 1314.1390195530.

The spelling of 2269467312 in words is "two billion, two hundred sixty-nine million, four hundred sixty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 433 456 532 798 821 866 912 1064 1299 1596 1642 1732 2128 2463 2598 3031 3192 3284 3464 4926 5196 5747 6062 6384 6568 6928 8227 9093 9852 10392 11494 12124 13136 15599 16454 17241 18186 19704 20784 22988 24248 24681 31198 32908 34482 36372 39408 45976 46797 48496 49362 57589 62396 65816 68964 72744 91952 93594 98724 109193 115178 124792 131632 137928 145488 172767 187188 197448 218386 230356 249584 275856 327579 345534 355493 374376 394896 436772 460712 655158 691068 710986 748752 873544 921424 1066479 1310316 1382136 1421972 1747088 2132958 2488451 2620632 2764272 2843944 4265916 4976902 5241264 5687888 6754367 7465353 8531832 9953804 13508734 14930706 17063664 19907608 20263101 27017468 29861412 39815216 40526202 47280569 54034936 59722824 81052404 94561138 108069872 119445648 141841707 162104808 189122276 283683414 324209616 378244552 567366828 756489104 1134733656 2269467312