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109202220 = 2232517127281
BaseRepresentation
bin1101000001001…
…00101100101100
321121111001021200
412200210230230
5210423432340
614500325500
72464126551
oct640445454
9247431250
10109202220
1156707276
12306a3890
13198161ca
1410708a28
1598c1330
hex6824b2c

109202220 has 144 divisors (see below), whose sum is σ = 354751488. Its totient is φ = 27095040.

The previous prime is 109202201. The next prime is 109202227. The reversal of 109202220 is 22202901.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 109202193 and 109202202.

It is not an unprimeable number, because it can be changed into a prime (109202227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 388480 + ... + 388760.

It is an arithmetic number, because the mean of its divisors is an integer number (2463552).

Almost surely, 2109202220 is an apocalyptic number.

109202220 is a gapful number since it is divisible by the number (10) 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 109202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177375744).

109202220 is an abundant number, since it is smaller than the sum of its proper divisors (245549268).

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

109202220 is a wasteful number, since it uses less digits than its factorization.

109202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 109202220 is about 10449.9866028622. The cubic root of 109202220 is about 477.9808410708.

The spelling of 109202220 in words is "one hundred nine million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 127 153 170 180 204 254 255 281 306 340 381 508 510 562 612 635 762 765 843 1020 1124 1143 1270 1405 1524 1530 1686 1905 2159 2286 2529 2540 2810 3060 3372 3810 4215 4318 4572 4777 5058 5620 5715 6477 7620 8430 8636 9554 10116 10795 11430 12645 12954 14331 16860 19108 19431 21590 22860 23885 25290 25908 28662 32385 35687 38862 42993 43180 47770 50580 57324 64770 71374 71655 77724 85986 95540 97155 107061 129540 142748 143310 171972 178435 194310 214122 214965 286620 321183 356870 388620 428244 429930 535305 606679 642366 713740 859860 1070610 1213358 1284732 1605915 1820037 2141220 2426716 3033395 3211830 3640074 5460111 6066790 6423660 7280148 9100185 10920222 12133580 18200370 21840444 27300555 36400740 54601110 109202220