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4332142312220 = 22522339712831907
BaseRepresentation
bin111111000010100111110…
…011011011101100011100
3120100011000110001100221102
4333002213303123230130
51031434211412442340
613114054140252232
7624662345036522
oct77024763335434
916304013040842
104332142312220
11142028443a868
1259b721841078
13255699aa33a8
1410d96922c312
1577a503b7215
hex3f0a7cdbb1c

4332142312220 has 96 divisors (see below), whose sum is σ = 9173261518848. Its totient is φ = 1718498149632.

The previous prime is 4332142312153. The next prime is 4332142312243. The reversal of 4332142312220 is 222132412334.

It is a super-2 number, since 2×43321423122202 (a number of 26 digits) contains 22 as substring.

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, 2271704507 + ... + 2271706413.

It is an arithmetic number, because the mean of its divisors is an integer number (95554807488).

Almost surely, 24332142312220 is an apocalyptic number.

It is an amenable number.

4332142312220 is an abundant number, since it is smaller than the sum of its proper divisors (4841119206628).

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

4332142312220 is a wasteful number, since it uses less digits than its factorization.

4332142312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 4332142312220 its reverse (222132412334), we get a palindrome (4554274724554).

The spelling of 4332142312220 in words is "four trillion, three hundred thirty-two billion, one hundred forty-two million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 223 397 446 794 892 1115 1283 1588 1907 1985 2230 2566 3814 3970 4460 5132 6415 7628 7940 9535 12830 19070 25660 38140 88531 177062 286109 354124 425261 442655 509351 572218 757079 850522 885310 1018702 1144436 1430545 1514158 1701044 1770620 2037404 2126305 2446681 2546755 2861090 3028316 3785395 4252610 4893362 5093510 5722180 7570790 8505220 9786724 10187020 12233405 15141580 24466810 48933620 113585273 168828617 227170546 337657234 454341092 545609863 567926365 675314468 844143085 971332357 1091219726 1135852730 1688286170 1942664714 2182439452 2271705460 2728049315 3376572340 3885329428 4856661785 5456098630 9713323570 10912197260 19426647140 216607115611 433214231222 866428462444 1083035578055 2166071156110 4332142312220