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117203220 = 223351271709
BaseRepresentation
bin1101111110001…
…10000100010100
322011112112121000
412333012010110
5220001000340
615344023300
72622132231
oct677060424
9264475530
10117203220
1160181572
1233301b30
131b387c24
14117cc788
15a451d30
hex6fc6114

117203220 has 96 divisors (see below), whose sum is σ = 367718400. Its totient is φ = 30989952.

The previous prime is 117203213. The next prime is 117203227. The reversal of 117203220 is 22302711.

It is an interprime number because it is at equal distance from previous prime (117203213) and next prime (117203227).

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 = 117203193 and 117203202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117203227) by changing a digit.

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, 67726 + ... + 69434.

It is an arithmetic number, because the mean of its divisors is an integer number (3830400).

Almost surely, 2117203220 is an apocalyptic number.

117203220 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 117203220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183859200).

117203220 is an abundant number, since it is smaller than the sum of its proper divisors (250515180).

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

117203220 is a wasteful number, since it uses less digits than its factorization.

117203220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 117203220 is about 10826.0435986560. The cubic root of 117203220 is about 489.3803356680.

Adding to 117203220 its reverse (22302711), we get a palindrome (139505931).

The spelling of 117203220 in words is "one hundred seventeen million, two hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 127 135 180 254 270 381 508 540 635 762 1143 1270 1524 1709 1905 2286 2540 3418 3429 3810 4572 5127 5715 6836 6858 7620 8545 10254 11430 13716 15381 17090 17145 20508 22860 25635 30762 34180 34290 46143 51270 61524 68580 76905 92286 102540 153810 184572 217043 230715 307620 434086 461430 651129 868172 922860 1085215 1302258 1953387 2170430 2604516 3255645 3906774 4340860 5860161 6511290 7813548 9766935 11720322 13022580 19533870 23440644 29300805 39067740 58601610 117203220