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113918220 = 223251389547
BaseRepresentation
bin1101100101001…
…00000100001100
321221100122102100
412302210010030
5213130340340
615145355100
72552201043
oct662440414
9257318370
10113918220
1159338499
1232198a90
131a7a7940
14111b555a
15a003830
hex6ca410c

113918220 has 144 divisors (see below), whose sum is σ = 377002080. Its totient is φ = 27675648.

The previous prime is 113918219. The next prime is 113918221. The reversal of 113918220 is 22819311.

It is an interprime number because it is at equal distance from previous prime (113918219) and next prime (113918221).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113918221) 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, 207987 + ... + 208533.

It is an arithmetic number, because the mean of its divisors is an integer number (2618070).

Almost surely, 2113918220 is an apocalyptic number.

113918220 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 113918220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188501040).

113918220 is an abundant number, since it is smaller than the sum of its proper divisors (263083860).

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

113918220 is a wasteful number, since it uses less digits than its factorization.

113918220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 113918220 is about 10673.2478655749. The cubic root of 113918220 is about 484.7647847995.

The spelling of 113918220 in words is "one hundred thirteen million, nine hundred eighteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 89 90 117 130 156 178 180 195 234 260 267 356 390 445 468 534 547 585 780 801 890 1068 1094 1157 1170 1335 1602 1641 1780 2188 2314 2340 2670 2735 3204 3282 3471 4005 4628 4923 5340 5470 5785 6564 6942 7111 8010 8205 9846 10413 10940 11570 13884 14222 16020 16410 17355 19692 20826 21333 23140 24615 28444 32820 34710 35555 41652 42666 48683 49230 52065 63999 69420 71110 85332 97366 98460 104130 106665 127998 142220 146049 194732 208260 213330 243415 255996 292098 319995 426660 438147 486830 584196 632879 639990 730245 876294 973660 1265758 1279980 1460490 1752588 1898637 2190735 2531516 2920980 3164395 3797274 4381470 5695911 6328790 7594548 8762940 9493185 11391822 12657580 18986370 22783644 28479555 37972740 56959110 113918220