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2232025040 = 245753157479
BaseRepresentation
bin1000010100001001…
…1111111111010000
312202112221121202002
42011002133333100
514032344300130
61005252013132
7106211620430
oct20502377720
95675847662
102232025040
11a45a134a3
125236011a8
1329756529b
141726162c0
15d0e45b45
hex8509ffd0

2232025040 has 160 divisors (see below), whose sum is σ = 6093895680. Its totient is φ = 744486912.

The previous prime is 2232025027. The next prime is 2232025043. The reversal of 2232025040 is 405202322.

2232025040 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 3×22320250403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232025043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4659521 + ... + 4659999.

It is an arithmetic number, because the mean of its divisors is an integer number (38086848).

Almost surely, 22232025040 is an apocalyptic number.

2232025040 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 2232025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046947840).

2232025040 is an abundant number, since it is smaller than the sum of its proper divisors (3861870640).

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

2232025040 is a wasteful number, since it uses less digits than its factorization.

2232025040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2232025040 is about 47244.3122502593. The cubic root of 2232025040 is about 1306.8719024886.

Adding to 2232025040 its reverse (405202322), we get a palindrome (2637227362).

The spelling of 2232025040 in words is "two billion, two hundred thirty-two million, twenty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 53 56 70 80 106 112 140 157 212 265 280 314 371 424 479 530 560 628 742 785 848 958 1060 1099 1256 1484 1570 1855 1916 2120 2198 2395 2512 2968 3140 3353 3710 3832 4240 4396 4790 5495 5936 6280 6706 7420 7664 8321 8792 9580 10990 12560 13412 14840 16642 16765 17584 19160 21980 25387 26824 29680 33284 33530 38320 41605 43960 50774 53648 58247 66568 67060 75203 83210 87920 101548 116494 126935 133136 134120 150406 166420 177709 203096 232988 253870 268240 291235 300812 332840 355418 376015 406192 465976 507740 526421 582470 601624 665680 710836 752030 888545 931952 1015480 1052842 1164940 1203248 1421672 1504060 1777090 2030960 2105684 2329880 2632105 2843344 3008120 3554180 3985759 4211368 4659760 5264210 6016240 7108360 7971518 8422736 10528420 14216720 15943036 19928795 21056840 27900313 31886072 39857590 42113680 55800626 63772144 79715180 111601252 139501565 159430360 223202504 279003130 318860720 446405008 558006260 1116012520 2232025040