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1145226304 = 26233125097
BaseRepresentation
bin100010001000010…
…1100010001000000
32221210221112011001
41010100230101000
54321134220204
6305350101344
740244156125
oct10420542100
92853845131
101145226304
115384a5522
1227b64a854
13153357301
14ac15274c
156a81b4a4
hex4442c440

1145226304 has 56 divisors (see below), whose sum is σ = 2447958528. Its totient is φ = 530027520.

The previous prime is 1145226287. The next prime is 1145226319. The reversal of 1145226304 is 4036225411.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33084 + ... + 58180.

Almost surely, 21145226304 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 1145226304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223979264).

1145226304 is an abundant number, since it is smaller than the sum of its proper divisors (1302732224).

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

1145226304 is a wasteful number, since it uses less digits than its factorization.

1145226304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25163 (or 25153 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 1145226304 is about 33841.1924139797. The cubic root of 1145226304 is about 1046.2378755767.

The spelling of 1145226304 in words is "one billion, one hundred forty-five million, two hundred twenty-six thousand, three hundred four".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 184 248 368 496 713 736 992 1426 1472 1984 2852 5704 11408 22816 25097 45632 50194 100388 200776 401552 577231 778007 803104 1154462 1556014 1606208 2308924 3112028 4617848 6224056 9235696 12448112 17894161 18471392 24896224 35788322 36942784 49792448 71576644 143153288 286306576 572613152 1145226304