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2232132240 = 243513829863
BaseRepresentation
bin1000010100001011…
…1010001010010000
312202120011001210110
42011002322022100
514032411212430
61005254201320
7106212545112
oct20502721220
95676131713
102232132240
11a45a86a98
12523653240
132975a2010
141726433b2
15d0e677b0
hex850ba290

2232132240 has 160 divisors (see below), whose sum is σ = 7469521920. Its totient is φ = 548149248.

The previous prime is 2232132239. The next prime is 2232132241. The reversal of 2232132240 is 422312322.

It is an interprime number because it is at equal distance from previous prime (2232132239) and next prime (2232132241).

It is a super-3 number, since 3×22321322403 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2232132241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2586049 + ... + 2586911.

It is an arithmetic number, because the mean of its divisors is an integer number (46684512).

Almost surely, 22232132240 is an apocalyptic number.

2232132240 is a gapful number since it is divisible by the number (20) 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 2232132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734760960).

2232132240 is an abundant number, since it is smaller than the sum of its proper divisors (5237389680).

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

2232132240 is a wasteful number, since it uses less digits than its factorization.

2232132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2232132240 is about 47245.4467647413. The cubic root of 2232132240 is about 1306.8928243603.

Adding to 2232132240 its reverse (422312322), we get a palindrome (2654444562).

The spelling of 2232132240 in words is "two billion, two hundred thirty-two million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 829 863 1040 1560 1658 1726 2487 2589 3120 3316 3452 4145 4315 4974 5178 6632 6904 8290 8630 9948 10356 10777 11219 12435 12945 13264 13808 16580 17260 19896 20712 21554 22438 24870 25890 32331 33160 33657 34520 39792 41424 43108 44876 49740 51780 53885 56095 64662 66320 67314 69040 86216 89752 99480 103560 107770 112190 129324 134628 161655 168285 172432 179504 198960 207120 215540 224380 258648 269256 323310 336570 431080 448760 517296 538512 646620 673140 715427 862160 897520 1293240 1346280 1430854 2146281 2586480 2692560 2861708 3577135 4292562 5723416 7154270 8585124 9300551 10731405 11446832 14308540 17170248 18601102 21462810 27901653 28617080 34340496 37202204 42925620 46502755 55803306 57234160 74404408 85851240 93005510 111606612 139508265 148808816 171702480 186011020 223213224 279016530 372022040 446426448 558033060 744044080 1116066120 2232132240