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220100340 = 223523349457
BaseRepresentation
bin11010001111001…
…11011011110100
3120100011020220110
431013213123310
5422321202330
633501303020
75311551645
oct1507473364
9510136813
10220100340
11103271709
1261864a70
13367a42b5
14213356cc
15144c9db0
hexd1e76f4

220100340 has 96 divisors (see below), whose sum is σ = 646329600. Its totient is φ = 55858176.

The previous prime is 220100323. The next prime is 220100357. The reversal of 220100340 is 43001022.

It is an interprime number because it is at equal distance from previous prime (220100323) and next prime (220100357).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481392 + ... + 481848.

It is an arithmetic number, because the mean of its divisors is an integer number (6732600).

Almost surely, 2220100340 is an apocalyptic number.

220100340 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 220100340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323164800).

220100340 is an abundant number, since it is smaller than the sum of its proper divisors (426229260).

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

220100340 is a wasteful number, since it uses less digits than its factorization.

220100340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 220100340 is about 14835.7790493118. The cubic root of 220100340 is about 603.7728375469.

Adding to 220100340 its reverse (43001022), we get a palindrome (263101362).

The spelling of 220100340 in words is "two hundred twenty million, one hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 349 457 460 690 698 914 1047 1371 1380 1396 1745 1828 2094 2285 2742 3490 4188 4570 5235 5484 6855 6980 8027 9140 10470 10511 13710 16054 20940 21022 24081 27420 31533 32108 40135 42044 48162 52555 63066 80270 96324 105110 120405 126132 157665 159493 160540 210220 240810 315330 318986 478479 481620 630660 637972 797465 956958 1594930 1913916 2392395 3189860 3668339 4784790 7336678 9569580 11005017 14673356 18341695 22010034 36683390 44020068 55025085 73366780 110050170 220100340