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220520340 = 22335439497
BaseRepresentation
bin11010010010011…
…01111110010100
3120100221121001000
431021031332110
5422423122330
633514303300
75315251305
oct1511157624
9510847030
10220520340
11103529217
1261a27b30
13368c0511
14214047ac
151455e560
hexd24df94

220520340 has 96 divisors (see below), whose sum is σ = 702092160. Its totient is φ = 57431808.

The previous prime is 220520309. The next prime is 220520351. The reversal of 220520340 is 43025022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18472 + ... + 27968.

It is an arithmetic number, because the mean of its divisors is an integer number (7313460).

Almost surely, 2220520340 is an apocalyptic number.

220520340 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 220520340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351046080).

220520340 is an abundant number, since it is smaller than the sum of its proper divisors (481571820).

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

220520340 is a wasteful number, since it uses less digits than its factorization.

220520340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9558 (or 9550 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 220520340 is about 14849.9272725492. The cubic root of 220520340 is about 604.1566374448.

Adding to 220520340 its reverse (43025022), we get a palindrome (263545362).

The spelling of 220520340 in words is "two hundred twenty million, five hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 86 90 108 129 135 172 180 215 258 270 387 430 516 540 645 774 860 1161 1290 1548 1935 2322 2580 3870 4644 5805 7740 9497 11610 18994 23220 28491 37988 47485 56982 85473 94970 113964 142455 170946 189940 256419 284910 341892 408371 427365 512838 569820 816742 854730 1025676 1225113 1282095 1633484 1709460 2041855 2450226 2564190 3675339 4083710 4900452 5128380 6125565 7350678 8167420 11026017 12251130 14701356 18376695 22052034 24502260 36753390 44104068 55130085 73506780 110260170 220520340