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97349220 = 223253747311
BaseRepresentation
bin1011100110101…
…10111001100100
320210011212000200
411303112321210
5144410133340
613354310500
72261311653
oct563267144
9223155020
1097349220
114aa50a01
1228728430
13172260b7
14cd0119a
15882e330
hex5cd6e64

97349220 has 144 divisors (see below), whose sum is σ = 310722048. Its totient is φ = 24641280.

The previous prime is 97349171. The next prime is 97349227. The reversal of 97349220 is 2294379.

97349220 is a `hidden beast` number, since 97 + 349 + 220 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (97349227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312865 + ... + 313175.

It is an arithmetic number, because the mean of its divisors is an integer number (2157792).

Almost surely, 297349220 is an apocalyptic number.

97349220 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97349220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155361024).

97349220 is an abundant number, since it is smaller than the sum of its proper divisors (213372828).

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

97349220 is a wasteful number, since it uses less digits than its factorization.

97349220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 97349220 is about 9866.5708328679. The cubic root of 97349220 is about 460.0208245141.

The spelling of 97349220 in words is "ninety-seven million, three hundred forty-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 47 60 74 90 94 111 141 148 180 185 188 222 235 282 311 333 370 423 444 470 555 564 622 666 705 740 846 933 940 1110 1244 1332 1410 1555 1665 1692 1739 1866 2115 2220 2799 2820 3110 3330 3478 3732 4230 4665 5217 5598 6220 6660 6956 8460 8695 9330 10434 11196 11507 13995 14617 15651 17390 18660 20868 23014 26085 27990 29234 31302 34521 34780 43851 46028 52170 55980 57535 58468 62604 69042 73085 78255 87702 103563 104340 115070 131553 138084 146170 156510 172605 175404 207126 219255 230140 263106 292340 313020 345210 414252 438510 517815 526212 540829 657765 690420 877020 1035630 1081658 1315530 1622487 2071260 2163316 2631060 2704145 3244974 4867461 5408290 6489948 8112435 9734922 10816580 16224870 19469844 24337305 32449740 48674610 97349220