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220972917 = 311371371321
BaseRepresentation
bin11010010101111…
…00011101110101
3120101210120212010
431022330131311
5423032113132
633532114433
75322144624
oct1512743565
9511716763
10220972917
11103808250
1262005a19
1336a1b509
14214c16bb
15145ed6cc
hexd2bc775

220972917 has 32 divisors (see below), whose sum is σ = 332763264. Its totient is φ = 129254400.

The previous prime is 220972859. The next prime is 220972931. The reversal of 220972917 is 719279022.

It is not a de Polignac number, because 220972917 - 26 = 220972853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220972957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166617 + ... + 167937.

It is an arithmetic number, because the mean of its divisors is an integer number (10398852).

Almost surely, 2220972917 is an apocalyptic number.

It is an amenable number.

220972917 is a deficient number, since it is larger than the sum of its proper divisors (111790347).

220972917 is a wasteful number, since it uses less digits than its factorization.

220972917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509.

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 220972917 is about 14865.1578195457. The cubic root of 220972917 is about 604.5696614143.

The spelling of 220972917 in words is "two hundred twenty million, nine hundred seventy-two thousand, nine hundred seventeen".

Divisors: 1 3 11 33 37 111 137 407 411 1221 1321 1507 3963 4521 5069 14531 15207 43593 48877 55759 146631 167277 180977 537647 542931 1612941 1990747 5972241 6696149 20088447 73657639 220972917