Search a number
-
+
996222969 = 36721672
BaseRepresentation
bin111011011000010…
…010011111111001
32120102120101000000
4323120102133321
54020013113334
6242504303213
733454520100
oct7330223771
92512511000
10996222969
11471384075
12239771b09
1312b516c61
1496447037
155c6d7299
hex3b6127f9

996222969 has 63 divisors (see below), whose sum is σ = 1747979157. Its totient is φ = 565861464.

The previous prime is 996222959. The next prime is 996223003. The reversal of 996222969 is 969222699.

The square root of 996222969 is 31563.

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

996222969 is a `hidden beast` number, since 9 + 9 + 622 + 2 + 9 + 6 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 996222969 - 213 = 996214777 is a prime.

It is a super-2 number, since 2×9962229692 = 1984920407926349922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (996222919) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 5965324 + ... + 5965490.

Almost surely, 2996222969 is an apocalyptic number.

996222969 is the 31563-rd square number.

996222969 is the 15782-nd centered octagonal number.

It is an amenable number.

996222969 is a deficient number, since it is larger than the sum of its proper divisors (751756188).

996222969 is an frugal number, since it uses more digits than its factorization.

996222969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 177 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The cubic root of 996222969 is about 998.7394012251.

The spelling of 996222969 in words is "nine hundred ninety-six million, two hundred twenty-two thousand, nine hundred sixty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 167 189 243 441 501 567 729 1169 1323 1503 1701 3507 3969 4509 5103 8183 10521 11907 13527 24549 27889 31563 35721 40581 73647 83667 94689 121743 195223 220941 251001 284067 585669 662823 753003 852201 1366561 1757007 1988469 2259009 4099683 5271021 5965407 6777027 12299049 15813063 20331081 36897147 47439189 110691441 142317567 332074323 996222969