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220232688 = 243132171597
BaseRepresentation
bin11010010000001…
…11101111110000
3120100101222110020
431020013233300
5422334421223
633504203440
75312642544
oct1510075760
9510358406
10220232688
11103352095
1261909580
133681c600
142136ba24
15145041e3
hexd207bf0

220232688 has 120 divisors (see below), whose sum is σ = 652712688. Its totient is φ = 63737856.

The previous prime is 220232657. The next prime is 220232707. The reversal of 220232688 is 886232022.

220232688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 137106 + ... + 138702.

Almost surely, 2220232688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220232688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326356344).

220232688 is an abundant number, since it is smaller than the sum of its proper divisors (432480000).

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

220232688 is a wasteful number, since it uses less digits than its factorization.

220232688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 220232688 is about 14840.2388120946. The cubic root of 220232688 is about 603.8938310240.

The spelling of 220232688 in words is "two hundred twenty million, two hundred thirty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 169 204 208 221 272 312 338 408 442 507 624 663 676 816 884 1014 1326 1352 1597 1768 2028 2652 2704 2873 3194 3536 4056 4791 5304 5746 6388 8112 8619 9582 10608 11492 12776 17238 19164 20761 22984 25552 27149 34476 38328 41522 45968 54298 62283 68952 76656 81447 83044 108596 124566 137904 162894 166088 217192 249132 269893 325788 332176 352937 434384 498264 539786 651576 705874 809679 996528 1058811 1079572 1303152 1411748 1619358 2117622 2159144 2823496 3238716 4235244 4318288 4588181 5646992 6477432 8470488 9176362 12954864 13764543 16940976 18352724 27529086 36705448 55058172 73410896 110116344 220232688