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212093808700 = 2252371013891459
BaseRepresentation
bin1100010110000111000…
…1101011000000111100
3202021110011220211012011
43011201301223000330
511433332003334300
6241233510221004
721215611425334
oct3054161530074
9667404824164
10212093808700
1181a48475724
1235131954764
1317000a3a3b7
14a3a035c0c4
1557b5074eba
hex3161c6b03c

212093808700 has 144 divisors (see below), whose sum is σ = 478917784800. Its totient is φ = 81461376000.

The previous prime is 212093808697. The next prime is 212093808701. The reversal of 212093808700 is 7808390212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212093808701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145368571 + ... + 145370029.

It is an arithmetic number, because the mean of its divisors is an integer number (3325817950).

Almost surely, 2212093808700 is an apocalyptic number.

212093808700 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 212093808700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239458892400).

212093808700 is an abundant number, since it is smaller than the sum of its proper divisors (266823976100).

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

212093808700 is a wasteful number, since it uses less digits than its factorization.

212093808700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 212093808700 in words is "two hundred twelve billion, ninety-three million, eight hundred eight thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 101 148 185 202 370 389 404 505 740 778 925 1010 1459 1556 1850 1945 2020 2525 2918 3700 3737 3890 5050 5836 7295 7474 7780 9725 10100 14393 14590 14948 18685 19450 28786 29180 36475 37370 38900 39289 53983 57572 71965 72950 74740 78578 93425 107966 143930 145900 147359 157156 186850 196445 215932 269915 287860 294718 359825 373700 392890 539830 567551 589436 719650 736795 785780 982225 1079660 1135102 1349575 1439300 1453693 1473590 1964450 2270204 2699150 2837755 2907386 2947180 3683975 3928900 5398300 5452283 5675510 5814772 7268465 7367950 10904566 11351020 14188775 14536930 14735900 20999387 21809132 27261415 28377550 29073860 36342325 41998774 54522830 56755100 57322651 72684650 83997548 104996935 109045660 114645302 136307075 145369300 209993870 229290604 272614150 286613255 419987740 524984675 545228300 573226510 1049969350 1146453020 1433066275 2099938700 2120938087 2866132550 4241876174 5732265100 8483752348 10604690435 21209380870 42418761740 53023452175 106046904350 212093808700