Search a number
-
+
97235220 = 22353161857
BaseRepresentation
bin1011100101110…
…11000100010100
320202222001122110
411302323010110
5144343011340
613352031020
72260325415
oct562730424
9222861573
1097235220
114a983295
1228692470
13171b6244
14ccb180c
15880a680
hex5cbb114

97235220 has 96 divisors (see below), whose sum is σ = 285981696. Its totient is φ = 24652800.

The previous prime is 97235209. The next prime is 97235233. The reversal of 97235220 is 2253279.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113032 + ... + 113888.

It is an arithmetic number, because the mean of its divisors is an integer number (2978976).

Almost surely, 297235220 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 97235220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142990848).

97235220 is an abundant number, since it is smaller than the sum of its proper divisors (188746476).

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

97235220 is a wasteful number, since it uses less digits than its factorization.

97235220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 97235220 is about 9860.7920574364. The cubic root of 97235220 is about 459.8411865123.

Adding to 97235220 its reverse (2253279), we get a palindrome (99488499).

The spelling of 97235220 in words is "ninety-seven million, two hundred thirty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 61 62 93 122 124 155 183 186 244 305 310 366 372 465 610 620 732 857 915 930 1220 1714 1830 1860 1891 2571 3428 3660 3782 4285 5142 5673 7564 8570 9455 10284 11346 12855 17140 18910 22692 25710 26567 28365 37820 51420 52277 53134 56730 79701 104554 106268 113460 132835 156831 159402 209108 261385 265670 313662 318804 398505 522770 531340 627324 784155 797010 1045540 1568310 1594020 1620587 3136620 3241174 4861761 6482348 8102935 9723522 16205870 19447044 24308805 32411740 48617610 97235220