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220136040 = 23325743823
BaseRepresentation
bin11010001111100…
…00001001101000
3120100020001212200
431013300021220
5422323323130
633502140200
75312061015
oct1507601150
9510201780
10220136040
11103296513
1261881660
13367b7617
142134470c
15144d5760
hexd1f0268

220136040 has 96 divisors (see below), whose sum is σ = 717275520. Its totient is φ = 58552704.

The previous prime is 220136017. The next prime is 220136057. The reversal of 220136040 is 40631022.

It is a happy number.

It is a super-2 number, since 2×2201360402 = 96919752213763200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267069 + ... + 267891.

It is an arithmetic number, because the mean of its divisors is an integer number (7471620).

Almost surely, 2220136040 is an apocalyptic number.

220136040 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 220136040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358637760).

220136040 is an abundant number, since it is smaller than the sum of its proper divisors (497139480).

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

220136040 is a wasteful number, since it uses less digits than its factorization.

220136040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 220136040 is about 14836.9821729353. The cubic root of 220136040 is about 603.8054795153.

Adding to 220136040 its reverse (40631022), we get a palindrome (260767062).

The spelling of 220136040 in words is "two hundred twenty million, one hundred thirty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 743 823 1486 1646 2229 2469 2972 3292 3715 4115 4458 4938 5944 6584 6687 7407 7430 8230 8916 9876 11145 12345 13374 14814 14860 16460 17832 19752 22290 24690 26748 29628 29720 32920 33435 37035 44580 49380 53496 59256 66870 74070 89160 98760 133740 148140 267480 296280 611489 1222978 1834467 2445956 3057445 3668934 4891912 5503401 6114890 7337868 9172335 11006802 12229780 14675736 18344670 22013604 24459560 27517005 36689340 44027208 55034010 73378680 110068020 220136040