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220012232 = 231117241211
BaseRepresentation
bin11010001110100…
…01111011001000
3120022222210001012
431013101323020
5422310342412
633455343052
75311034036
oct1507217310
9508883035
10220012232
111032114a0
1261821a88
133677316b
1421311556
15144adc22
hexd1d1ec8

220012232 has 96 divisors (see below), whose sum is σ = 492035040. Its totient is φ = 91392000.

The previous prime is 220012207. The next prime is 220012297. The reversal of 220012232 is 232210022.

220012232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1042607 + ... + 1042817.

It is an arithmetic number, because the mean of its divisors is an integer number (5125365).

Almost surely, 2220012232 is an apocalyptic number.

220012232 is a gapful number since it is divisible by the number (22) 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 220012232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246017520).

220012232 is an abundant number, since it is smaller than the sum of its proper divisors (272022808).

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

220012232 is a wasteful number, since it uses less digits than its factorization.

220012232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 220012232 is about 14832.8093090958. The cubic root of 220012232 is about 603.6922616950.

Adding to 220012232 its reverse (232210022), we get a palindrome (452222254).

The spelling of 220012232 in words is "two hundred twenty million, twelve thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 17 22 34 41 44 68 82 88 136 164 187 211 289 328 374 422 451 578 697 748 844 902 1156 1394 1496 1688 1804 2312 2321 2788 3179 3587 3608 4642 5576 6358 7174 7667 8651 9284 11849 12716 14348 15334 17302 18568 23698 25432 28696 30668 34604 39457 47396 60979 61336 69208 78914 94792 95161 121958 130339 147067 157828 190322 243916 260678 294134 315656 380644 487832 521356 588268 670769 761288 1042712 1176536 1341538 1617737 2500139 2683076 3235474 5000278 5366152 6470948 10000556 12941896 20001112 27501529 55003058 110006116 220012232