Search a number
-
+
220502940 = 223572179419
BaseRepresentation
bin11010010010010…
…01101110011100
3120100220201011120
431021021232130
5422422043230
633514050540
75315146500
oct1511115634
9510821146
10220502940
11103517139
1261a19a50
13368b5618
14213dc300
1514559310
hexd249b9c

220502940 has 144 divisors (see below), whose sum is σ = 723945600. Its totient is φ = 49999488.

The previous prime is 220502939. The next prime is 220502941. The reversal of 220502940 is 49205022.

220502940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220502939) and next prime (220502941).

It is a self number, because there is not a number n which added to its sum of digits gives 220502940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220502941) 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, 526051 + ... + 526469.

It is an arithmetic number, because the mean of its divisors is an integer number (5027400).

Almost surely, 2220502940 is an apocalyptic number.

220502940 is a gapful number since it is divisible by the number (20) 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 220502940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361972800).

220502940 is an abundant number, since it is smaller than the sum of its proper divisors (503442660).

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

220502940 is a wasteful number, since it uses less digits than its factorization.

220502940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 220502940 is about 14849.3413995369. The cubic root of 220502940 is about 604.1407468441.

Adding to 220502940 its reverse (49205022), we get a palindrome (269707962).

The spelling of 220502940 in words is "two hundred twenty million, five hundred two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 179 196 210 245 294 358 419 420 490 537 588 716 735 838 895 980 1074 1253 1257 1470 1676 1790 2095 2148 2506 2514 2685 2933 2940 3580 3759 4190 5012 5028 5370 5866 6265 6285 7518 8380 8771 8799 10740 11732 12530 12570 14665 15036 17542 17598 18795 20531 25060 25140 26313 29330 35084 35196 37590 41062 43855 43995 52626 58660 61593 75001 75180 82124 87710 87990 102655 105252 123186 131565 150002 175420 175980 205310 225003 246372 263130 300004 307965 375005 410620 450006 525007 526260 615930 750010 900012 1050014 1125015 1231860 1500020 1575021 2100028 2250030 2625035 3150042 3675049 4500060 5250070 6300084 7350098 7875105 10500140 11025147 14700196 15750210 18375245 22050294 31500420 36750490 44100588 55125735 73500980 110251470 220502940