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2218069248 = 28319115121
BaseRepresentation
bin1000010000110101…
…0000110100000000
312201120200120222220
42010031100310000
514020311203443
61004032531040
7105652164123
oct20415206400
95646616886
102218069248
11a3905128a
1251a9b0a80
132946ba015
141708223ba
15ceadaa83
hex84350d00

2218069248 has 72 divisors (see below), whose sum is σ = 5934598656. Its totient is φ = 735436800.

The previous prime is 2218069223. The next prime is 2218069267. The reversal of 2218069248 is 8429608122.

It is a congruent number.

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, 139128 + ... + 154248.

Almost surely, 22218069248 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 2218069248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967299328).

2218069248 is an abundant number, since it is smaller than the sum of its proper divisors (3716529408).

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

2218069248 is a wasteful number, since it uses less digits than its factorization.

2218069248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15331 (or 15317 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 2218069248 is about 47096.3825362416. The cubic root of 2218069248 is about 1304.1424562397.

The spelling of 2218069248 in words is "two billion, two hundred eighteen million, sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 191 192 256 382 384 573 764 768 1146 1528 2292 3056 4584 6112 9168 12224 15121 18336 24448 30242 36672 45363 48896 60484 73344 90726 120968 146688 181452 241936 362904 483872 725808 967744 1451616 1935488 2888111 2903232 3870976 5776222 5806464 8664333 11552444 11612928 17328666 23104888 34657332 46209776 69314664 92419552 138629328 184839104 277258656 369678208 554517312 739356416 1109034624 2218069248