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2232142330104 = 2333291073330323
BaseRepresentation
bin100000011110110110000…
…011001111100011111000
321220101112211121002021000
4200132312003033203320
5243032411414030404
64425233152445000
7320160365516211
oct40366603174370
97811484532230
102232142330104
11790712176365
1230072bb49760
1313264aa3778b
147a071724408
153d0e31a5339
hex207b60cf8f8

2232142330104 has 128 divisors (see below), whose sum is σ = 6474149856000. Its totient is φ = 711676490112.

The previous prime is 2232142330063. The next prime is 2232142330123. The reversal of 2232142330104 is 4010332412322.

2232142330104 is a `hidden beast` number, since 2 + 2 + 321 + 4 + 2 + 330 + 1 + 0 + 4 = 666.

2232142330104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22321423301043 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 994914 + ... + 2335409.

It is an arithmetic number, because the mean of its divisors is an integer number (50579295750).

Almost surely, 22232142330104 is an apocalyptic number.

2232142330104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2232142330104 is an abundant number, since it is smaller than the sum of its proper divisors (4242007525896).

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

2232142330104 is a wasteful number, since it uses less digits than its factorization.

2232142330104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330474 (or 3330464 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2232142330104 its reverse (4010332412322), we get a palindrome (6242474742426).

The spelling of 2232142330104 in words is "two trillion, two hundred thirty-two billion, one hundred forty-two million, three hundred thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 107 108 116 174 214 216 232 261 321 348 428 522 642 696 783 856 963 1044 1284 1566 1926 2088 2568 2889 3103 3132 3852 5778 6206 6264 7704 9309 11556 12412 18618 23112 24824 27927 37236 55854 74472 83781 111708 167562 223416 335124 670248 3330323 6660646 9990969 13321292 19981938 26642584 29972907 39963876 59945814 79927752 89918721 96579367 119891628 179837442 193158734 239783256 289738101 356344561 359674884 386317468 579476202 712689122 719349768 772634936 869214303 1069033683 1158952404 1425378244 1738428606 2138067366 2317904808 2607642909 2850756488 3207101049 3476857212 4276134732 5215285818 6414202098 6953714424 8552269464 9621303147 10333992269 10430571636 12828404196 19242606294 20667984538 20861143272 25656808392 31001976807 38485212588 41335969076 62003953614 76970425176 82671938152 93005930421 124007907228 186011860842 248015814456 279017791263 372023721684 558035582526 744047443368 1116071165052 2232142330104