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2220421248 = 273571387
BaseRepresentation
bin1000010001011000…
…1111000010000000
312201202010002100000
42010112033002000
514021411434443
61004155200000
7106011161223
oct20426170200
95652102300
102220421248
11a3a408391
1251b746000
13295031736
14170c755ba
15cee028d3
hex8458f080

2220421248 has 96 divisors (see below), whose sum is σ = 6626234160. Its totient is φ = 740130048.

The previous prime is 2220421243. The next prime is 2220421249. The reversal of 2220421248 is 8421240222.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2220421241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4590 + ... + 66797.

Almost surely, 22220421248 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 2220421248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3313117080).

2220421248 is an abundant number, since it is smaller than the sum of its proper divisors (4405812912).

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

2220421248 is an frugal number, since it uses more digits than its factorization.

2220421248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71416 (or 71392 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 2220421248 is about 47121.3459909625. The cubic root of 2220421248 is about 1304.6032563272.

The spelling of 2220421248 in words is "two billion, two hundred twenty million, four hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15552 31104 71387 142774 214161 285548 428322 571096 642483 856644 1142192 1284966 1713288 1927449 2284384 2569932 3426576 3854898 4568768 5139864 5782347 6853152 7709796 9137536 10279728 11564694 13706304 15419592 17347041 20559456 23129388 27412608 30839184 34694082 41118912 46258776 61678368 69388164 82237824 92517552 123356736 138776328 185035104 246713472 277552656 370070208 555105312 740140416 1110210624 2220421248