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220772097 = 32721397397
BaseRepresentation
bin11010010100010…
…11011100000001
3120101102101101100
431022023130001
5423004201342
633523525013
75320350300
oct1512133401
9511371340
10220772097
11103690387
1261b29769
133697aca0
142146c437
15145ade4c
hexd28b701

220772097 has 72 divisors (see below), whose sum is σ = 404627496. Its totient is φ = 114960384.

The previous prime is 220772087. The next prime is 220772107. The reversal of 220772097 is 790277022.

It is an interprime number because it is at equal distance from previous prime (220772087) and next prime (220772107).

It can be written as a sum of positive squares in 4 ways, for example, as 14447601 + 206324496 = 3801^2 + 14364^2 .

It is not a de Polignac number, because 220772097 - 26 = 220772033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220772087) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 555903 + ... + 556299.

Almost surely, 2220772097 is an apocalyptic number.

It is an amenable number.

220772097 is a deficient number, since it is larger than the sum of its proper divisors (183855399).

220772097 is a wasteful number, since it uses less digits than its factorization.

220772097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 220772097 is about 14858.4015627523. The cubic root of 220772097 is about 604.3864617736.

The spelling of 220772097 in words is "two hundred twenty million, seven hundred seventy-two thousand, ninety-seven".

Divisors: 1 3 7 9 13 21 39 49 63 91 97 117 147 273 291 397 441 637 679 819 873 1191 1261 1911 2037 2779 3573 3783 4753 5161 5733 6111 8337 8827 11349 14259 15483 19453 25011 26481 36127 38509 42777 46449 58359 61789 79443 108381 115527 175077 185367 252889 269563 325143 346581 500617 556101 758667 808689 1501851 1886941 2276001 2426067 3504319 4505553 5660823 10512957 16982469 24530233 31538871 73590699 220772097