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220155640 = 23553113919
BaseRepresentation
bin11010001111101…
…00111011111000
3120100021001202121
431013310323320
5422324440030
633502411024
75312202115
oct1507647370
9510231677
10220155640
111032aa211
1261890a74
13367c3513
142134b90c
15144db47a
hexd1f4ef8

220155640 has 64 divisors (see below), whose sum is σ = 509716800. Its totient is φ = 85542912.

The previous prime is 220155631. The next prime is 220155653. The reversal of 220155640 is 46551022.

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 15 ways as a sum of consecutive naturals, for example, 239101 + ... + 240019.

It is an arithmetic number, because the mean of its divisors is an integer number (7964325).

Almost surely, 2220155640 is an apocalyptic number.

220155640 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 220155640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254858400).

220155640 is an abundant number, since it is smaller than the sum of its proper divisors (289561160).

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

220155640 is a wasteful number, since it uses less digits than its factorization.

220155640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 220155640 is about 14837.6426699122. The cubic root of 220155640 is about 603.8233990953.

The spelling of 220155640 in words is "two hundred twenty million, one hundred fifty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 113 212 226 265 424 452 530 565 904 919 1060 1130 1838 2120 2260 3676 4520 4595 5989 7352 9190 11978 18380 23956 29945 36760 47912 48707 59890 97414 103847 119780 194828 207694 239560 243535 389656 415388 487070 519235 830776 974140 1038470 1948280 2076940 4153880 5503891 11007782 22015564 27519455 44031128 55038910 110077820 220155640