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2294420608 = 272931127157
BaseRepresentation
bin1000100011000010…
…0001010010000000
312220220100122101001
42020300201102000
514144332424413
61015401221344
7110600152624
oct21060412200
95826318331
102294420608
11a78160187
12540491854
132a747073c
1417aa19184
15d666d4dd
hex88c21480

2294420608 has 128 divisors (see below), whose sum is σ = 4950835200. Its totient is φ = 1056706560.

The previous prime is 2294420567. The next prime is 2294420627. The reversal of 2294420608 is 8060244922.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14614066 + ... + 14614222.

It is an arithmetic number, because the mean of its divisors is an integer number (38678400).

Almost surely, 22294420608 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 2294420608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475417600).

2294420608 is an abundant number, since it is smaller than the sum of its proper divisors (2656414592).

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

2294420608 is a wasteful number, since it uses less digits than its factorization.

2294420608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 2294420608 is about 47900.1107305609. The cubic root of 2294420608 is about 1318.9378906520.

The spelling of 2294420608 in words is "two billion, two hundred ninety-four million, four hundred twenty thousand, six hundred eight".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 127 128 157 232 248 254 314 464 496 508 628 899 928 992 1016 1256 1798 1856 1984 2032 2512 3596 3683 3712 3937 3968 4064 4553 4867 5024 7192 7366 7874 8128 9106 9734 10048 14384 14732 15748 16256 18212 19468 19939 20096 28768 29464 31496 36424 38936 39878 57536 58928 62992 72848 77872 79756 114173 115072 117856 125984 141143 145696 155744 159512 228346 235712 251968 282286 291392 311488 319024 456692 471424 503936 564572 578231 582784 618109 622976 638048 913384 1129144 1156462 1236218 1276096 1826768 2258288 2312924 2472436 2552192 3653536 4516576 4625848 4944872 7307072 9033152 9251696 9889744 14614144 17925161 18066304 18503392 19779488 35850322 37006784 39558976 71700644 74013568 79117952 143401288 286802576 573605152 1147210304 2294420608