Search a number
-
+
220107840 = 26351713487
BaseRepresentation
bin11010001111010…
…01010001000000
3120100011122012020
431013221101000
5422321422330
633501401440
75311612551
oct1507512100
9510148166
10220107840
11103277307
1261869280
13367a7834
1421338328
15144cc210
hexd1e9440

220107840 has 112 divisors (see below), whose sum is σ = 740005632. Its totient is φ = 55238656.

The previous prime is 220107829. The next prime is 220107851. The reversal of 220107840 is 48701022.

It is an interprime number because it is at equal distance from previous prime (220107829) and next prime (220107851).

It is a super-2 number, since 2×2201078402 = 96894922458931200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 220107840.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9577 + ... + 23063.

Almost surely, 2220107840 is an apocalyptic number.

220107840 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 220107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370002816).

220107840 is an abundant number, since it is smaller than the sum of its proper divisors (519897792).

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

220107840 is a wasteful number, since it uses less digits than its factorization.

220107840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13524 (or 13514 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 220107840 is about 14836.0318144711. The cubic root of 220107840 is about 603.7796953961.

Adding to 220107840 its reverse (48701022), we get a palindrome (268808862).

The spelling of 220107840 in words is "two hundred twenty million, one hundred seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 4080 5440 8160 13487 16320 26974 40461 53948 67435 80922 107896 134870 161844 202305 215792 229279 269740 323688 404610 431584 458558 539480 647376 687837 809220 863168 917116 1078960 1146395 1294752 1375674 1618440 1834232 2157920 2292790 2589504 2751348 3236880 3439185 3668464 4315840 4585580 5502696 6473760 6878370 7336928 9171160 11005392 12947520 13756740 14673856 18342320 22010784 27513480 36684640 44021568 55026960 73369280 110053920 220107840