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1220663844 = 22366472
BaseRepresentation
bin100100011000001…
…1101101000100100
310011001220011000000
41020300131220210
54444442220334
6321043021300
742151320501
oct11060355044
93131804000
101220663844
1157703a8a4
122a096a830
13165b7aaca
14b818c4a8
157226d299
hex48c1da24

1220663844 has 63 divisors (see below), whose sum is σ = 3207735307. Its totient is φ = 406259064.

The previous prime is 1220663827. The next prime is 1220663861. The reversal of 1220663844 is 4483660221.

The square root of 1220663844 is 34938.

It is a perfect power (a square), and thus also a powerful number.

1220663844 is a `hidden beast` number, since 12 + 2 + 0 + 6 + 638 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1220663827) and next prime (1220663861).

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1220663799 and 1220663808.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1886329 + ... + 1886975.

Almost surely, 21220663844 is an apocalyptic number.

1220663844 is the 34938-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220663844

1220663844 is an abundant number, since it is smaller than the sum of its proper divisors (1987071463).

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

1220663844 is an frugal number, since it uses more digits than its factorization.

1220663844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The cubic root of 1220663844 is about 1068.7235029442.

Multiplying 1220663844 by its sum of digits (36), we get a square (43943898384 = 2096282).

1220663844 divided by its sum of digits (36) gives a square (33907329 = 58232).

The spelling of 1220663844 in words is "one billion, two hundred twenty million, six hundred sixty-three thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 647 729 972 1294 1458 1941 2588 2916 3882 5823 7764 11646 17469 23292 34938 52407 69876 104814 157221 209628 314442 418609 471663 628884 837218 943326 1255827 1674436 1886652 2511654 3767481 5023308 7534962 11302443 15069924 22604886 33907329 45209772 67814658 101721987 135629316 203443974 305165961 406887948 610331922 1220663844