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2229093328 = 247112297901
BaseRepresentation
bin1000010011011101…
…0100001111010000
312202100102200012011
42010313110033100
514031121441303
61005105112304
7106144660240
oct20467241720
95670380164
102229093328
11a442a08a0
12522628694
13296a79a47
14172091b20
15d0a6716d
hex84dd43d0

2229093328 has 80 divisors (see below), whose sum is σ = 5408760960. Its totient is φ = 864576000.

The previous prime is 2229093301. The next prime is 2229093341. The reversal of 2229093328 is 8233909222.

It is a congruent number.

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, 278178 + ... + 286078.

It is an arithmetic number, because the mean of its divisors is an integer number (67609512).

Almost surely, 22229093328 is an apocalyptic number.

2229093328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2229093328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704380480).

2229093328 is an abundant number, since it is smaller than the sum of its proper divisors (3179667632).

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

2229093328 is a wasteful number, since it uses less digits than its factorization.

2229093328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8156 (or 8150 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 2229093328 is about 47213.2749128886. The cubic root of 2229093328 is about 1306.2994700311.

The spelling of 2229093328 in words is "two billion, two hundred twenty-nine million, ninety-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 229 308 458 616 916 1232 1603 1832 2519 3206 3664 5038 6412 7901 10076 12824 15802 17633 20152 25648 31604 35266 40304 55307 63208 70532 86911 110614 126416 141064 173822 221228 282128 347644 442456 608377 695288 884912 1216754 1390576 1809329 2433508 3618658 4867016 7237316 9734032 12665303 14474632 19902619 25330606 28949264 39805238 50661212 79610476 101322424 139318333 159220952 202644848 278636666 318441904 557273332 1114546664 2229093328