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1221401152 = 2641211353
BaseRepresentation
bin100100011001101…
…0001101001000000
310011010021121101201
41020303101221000
510000134314102
6321110510544
742160511206
oct11063215100
93133247351
101221401152
115774a3844
122a1065454
1316607859a
14b8301076
1572366987
hex48cd1a40

1221401152 has 42 divisors (see below), whose sum is σ = 2484493634. Its totient is φ = 595752960.

The previous prime is 1221401053. The next prime is 1221401161. The reversal of 1221401152 is 2511041221.

It can be written as a sum of positive squares in 3 ways, for example, as 98883136 + 1122518016 = 9944^2 + 33504^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 101908 + ... + 113260.

Almost surely, 21221401152 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 1221401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242246817).

1221401152 is an abundant number, since it is smaller than the sum of its proper divisors (1263092482).

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

1221401152 is an equidigital number, since it uses as much as digits as its factorization.

1221401152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11447 (or 11396 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 1221401152 is about 34948.5500700673. The cubic root of 1221401152 is about 1068.9386371909.

Adding to 1221401152 its reverse (2511041221), we get a palindrome (3732442373).

The spelling of 1221401152 in words is "one billion, two hundred twenty-one million, four hundred one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 1681 2624 3362 6724 11353 13448 22706 26896 45412 53792 90824 107584 181648 363296 465473 726592 930946 1861892 3723784 7447568 14895136 19084393 29790272 38168786 76337572 152675144 305350288 610700576 1221401152