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2215005696 = 2933163983
BaseRepresentation
bin1000010000000110…
…0100111000000000
312201100220221121000
42010001210320000
514014020140241
61003443132000
7105614144361
oct20401447000
95640827530
102215005696
11a37349622
12519974000
13293b86777
14170265b68
15ce6d2eb6
hex84064e00

2215005696 has 160 divisors (see below), whose sum is σ = 6603505920. Its totient is φ = 733059072.

The previous prime is 2215005679. The next prime is 2215005719. The reversal of 2215005696 is 6965005122.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2215005696.

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, 2252821 + ... + 2253803.

It is an arithmetic number, because the mean of its divisors is an integer number (41271912).

Almost surely, 22215005696 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 2215005696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301752960).

2215005696 is an abundant number, since it is smaller than the sum of its proper divisors (4388500224).

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

2215005696 is an equidigital number, since it uses as much as digits as its factorization.

2215005696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2215005696 is about 47063.8470165795. The cubic root of 2215005696 is about 1303.5417612796.

The spelling of 2215005696 in words is "two billion, two hundred fifteen million, five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 163 192 216 256 288 326 384 432 489 512 576 652 768 864 978 983 1152 1304 1467 1536 1728 1956 1966 2304 2608 2934 2949 3456 3912 3932 4401 4608 5216 5868 5898 6912 7824 7864 8802 8847 10432 11736 11796 13824 15648 15728 17604 17694 20864 23472 23592 26541 31296 31456 35208 35388 41728 46944 47184 53082 62592 62912 70416 70776 83456 93888 94368 106164 125184 125824 140832 141552 160229 187776 188736 212328 250368 251648 281664 283104 320458 375552 377472 424656 480687 503296 563328 566208 640916 751104 754944 849312 961374 1126656 1132416 1281832 1442061 1509888 1698624 1922748 2253312 2264832 2563664 2884122 3397248 3845496 4326183 4529664 5127328 5768244 6794496 7690992 8652366 10254656 11536488 13588992 15381984 17304732 20509312 23072976 30763968 34609464 41018624 46145952 61527936 69218928 82037248 92291904 123055872 138437856 184583808 246111744 276875712 369167616 553751424 738335232 1107502848 2215005696