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220815342 = 23311421883
BaseRepresentation
bin11010010100101…
…01111111101110
3120101111120201000
431022111333232
5423012042332
633524501130
75320620336
oct1512257756
9511446630
10220815342
1110370a920
1261b4a7a6
1336994887
14214800c6
15145bbb7c
hexd295fee

220815342 has 64 divisors (see below), whose sum is σ = 537189120. Its totient is φ = 66679200.

The previous prime is 220815323. The next prime is 220815373. The reversal of 220815342 is 243518022.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 249633 + ... + 250515.

It is an arithmetic number, because the mean of its divisors is an integer number (8393580).

Almost surely, 2220815342 is an apocalyptic number.

220815342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220815342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268594560).

220815342 is an abundant number, since it is smaller than the sum of its proper divisors (316373778).

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

220815342 is a wasteful number, since it uses less digits than its factorization.

220815342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 220815342 is about 14859.8567287844. The cubic root of 220815342 is about 604.4259217514.

The spelling of 220815342 in words is "two hundred twenty million, eight hundred fifteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 421 594 842 883 1263 1766 2526 2649 3789 4631 5298 7578 7947 9262 9713 11367 13893 15894 19426 22734 23841 27786 29139 41679 47682 58278 83358 87417 125037 174834 250074 262251 371743 524502 743486 1115229 2230458 3345687 4089173 6691374 8178346 10037061 12267519 20074122 24535038 36802557 73605114 110407671 220815342