Search a number
-
+
212152153000 = 2353438635717
BaseRepresentation
bin1100010110010101000…
…0001111001110101000
3202021121020201000112011
43011211100033032220
511433441422344000
6241243352525304
721220220355334
oct3054520171650
9667536630464
10212152153000
1181a783a5657
12351493b0834
131700cb57858
14a3a7dc87c4
1557ba24c2ba
hex316540f3a8

212152153000 has 128 divisors (see below), whose sum is σ = 508658641920. Its totient is φ = 82776825600.

The previous prime is 212152152959. The next prime is 212152153027. The reversal of 212152153000 is 351251212.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 37106142 + ... + 37111858.

It is an arithmetic number, because the mean of its divisors is an integer number (3973895640).

Almost surely, 2212152153000 is an apocalyptic number.

212152153000 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 212152153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254329320960).

212152153000 is an abundant number, since it is smaller than the sum of its proper divisors (296506488920).

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

212152153000 is a wasteful number, since it uses less digits than its factorization.

212152153000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6644 (or 6630 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The spelling of 212152153000 in words is "two hundred twelve billion, one hundred fifty-two million, one hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 344 430 500 860 863 1000 1075 1720 1726 2150 3452 4300 4315 5375 5717 6904 8600 8630 10750 11434 17260 21500 21575 22868 28585 34520 37109 43000 43150 45736 57170 74218 86300 107875 114340 142925 148436 172600 185545 215750 228680 245831 285850 296872 371090 431500 491662 571700 714625 742180 863000 927725 983324 1143400 1229155 1429250 1484360 1855450 1966648 2458310 2858500 3710900 4638625 4916620 4933771 5717000 6145775 7421800 9277250 9833240 9867542 12291550 18554500 19735084 24583100 24668855 30728875 37109000 39470168 49166200 49337710 61457750 98675420 122915500 123344275 197350840 212152153 245831000 246688550 424304306 493377100 616721375 848608612 986754200 1060760765 1233442750 1697217224 2121521530 2466885500 4243043060 4933771000 5303803825 8486086120 10607607650 21215215300 26519019125 42430430600 53038038250 106076076500 212152153000