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212452530080 = 25572239113383
BaseRepresentation
bin1100010111011100101…
…0000101011110100000
3202022101011220202102012
43011313022011132200
511440100321430310
6241333243012052
721230525465300
oct3056712053640
9668334822365
10212452530080
1182111a0737a
1235211b0a028
131705a15817b
14a3d5c59600
1557d67d2c05
hex31772857a0

212452530080 has 144 divisors (see below), whose sum is σ = 586313199360. Its totient is φ = 72535454208.

The previous prime is 212452530079. The next prime is 212452530089. The reversal of 212452530080 is 80035254212.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (212452530089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1817069 + ... + 1930451.

It is an arithmetic number, because the mean of its divisors is an integer number (4071619440).

Almost surely, 2212452530080 is an apocalyptic number.

212452530080 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 212452530080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293156599680).

212452530080 is an abundant number, since it is smaller than the sum of its proper divisors (373860669280).

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

212452530080 is a wasteful number, since it uses less digits than its factorization.

212452530080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113651 (or 113636 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 212452530080 its reverse (80035254212), we get a palindrome (292487784292).

The spelling of 212452530080 in words is "two hundred twelve billion, four hundred fifty-two million, five hundred thirty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 239 245 280 392 478 490 560 784 956 980 1120 1195 1568 1673 1912 1960 2390 3346 3824 3920 4780 6692 7648 7840 8365 9560 11711 13384 16730 19120 23422 26768 33460 38240 46844 53536 58555 66920 93688 113383 117110 133840 187376 226766 234220 267680 374752 453532 468440 566915 793681 907064 936880 1133830 1587362 1814128 1873760 2267660 3174724 3628256 3968405 4535320 5555767 6349448 7936810 9070640 11111534 12698896 15873620 18141280 22223068 25397792 27098537 27778835 31747240 44446136 54197074 55557670 63494480 88892272 108394148 111115340 126988960 135492685 177784544 189689759 216788296 222230680 270985370 379379518 433576592 444461360 541970740 758759036 867153184 888922720 948448795 1083941480 1327828313 1517518072 1896897590 2167882960 2655656626 3035036144 3793795180 4335765920 5311313252 6070072288 6639141565 7587590360 10622626504 13278283130 15175180720 21245253008 26556566260 30350361440 42490506016 53113132520 106226265040 212452530080