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32220110142 = 232112233172029
BaseRepresentation
bin11110000000011101…
…111101110100111110
310002011110211011221200
4132000131331310332
51011441322011032
622445100440330
72220305263113
oct360035756476
9102143734850
1032220110142
1112734459700
1262b25490a6
13306631803c
1417b923c90a
15c889b947c
hex78077dd3e

32220110142 has 144 divisors (see below), whose sum is σ = 80361983520. Its totient is φ = 9305112960.

The previous prime is 32220110113. The next prime is 32220110161. The reversal of 32220110142 is 24101102223.

It is a happy number.

32220110142 is a `hidden beast` number, since 322 + 201 + 1 + 0 + 142 = 666.

It is a super-2 number, since 2×322201101422 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15878784 + ... + 15880812.

It is an arithmetic number, because the mean of its divisors is an integer number (558069330).

Almost surely, 232220110142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32220110142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40180991760).

32220110142 is an abundant number, since it is smaller than the sum of its proper divisors (48141873378).

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

32220110142 is a wasteful number, since it uses less digits than its factorization.

32220110142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 32220110142 its reverse (24101102223), we get a palindrome (56321212365).

The spelling of 32220110142 in words is "thirty-two billion, two hundred twenty million, one hundred ten thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 121 138 198 207 242 253 317 363 414 506 634 726 759 951 1089 1518 1902 2029 2178 2277 2783 2853 3487 4058 4554 5566 5706 6087 6974 7291 8349 10461 12174 14582 16698 18261 20922 21873 22319 25047 31383 36522 38357 43746 44638 46667 50094 62766 65619 66957 76714 80201 93334 115071 131238 133914 140001 160402 200871 230142 240603 245509 280002 345213 401742 420003 481206 491018 513337 643193 690426 721809 736527 840006 882211 1026674 1286386 1443618 1473054 1540011 1764422 1929579 2209581 2646633 3080022 3859158 4419162 4620033 5293266 5646707 5788737 7075123 7939899 9240066 11293414 11577474 14150246 14793439 15879798 16940121 21225369 29586878 33880242 42450738 44380317 50820363 63676107 77826353 88760634 101640726 127352214 133140951 155652706 162727829 233479059 266281902 325455658 466958118 488183487 700437177 976366974 1400874354 1464550461 1790006119 2929100922 3580012238 5370018357 10740036714 16110055071 32220110142