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212132231248 = 24717732835393
BaseRepresentation
bin1100010110010000010…
…0001111100001010000
3202021112212012220000111
43011210010033201100
511433421322344443
6241241401531104
721216556133410
oct3054404174120
9667485186014
10212132231248
1181a681290a3
12351427a3a94
13170089a0c32
14a3a54c0640
1557b861469d
hex316410f850

212132231248 has 160 divisors (see below), whose sum is σ = 506040397056. Its totient is φ = 84080001024.

The previous prime is 212132231191. The next prime is 212132231249. The reversal of 212132231248 is 842132231212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212132231249) 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, 39332040 + ... + 39337432.

Almost surely, 2212132231248 is an apocalyptic number.

212132231248 is a gapful number since it is divisible by the number (28) 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 212132231248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253020198528).

212132231248 is an abundant number, since it is smaller than the sum of its proper divisors (293908165808).

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

212132231248 is a wasteful number, since it uses less digits than its factorization.

212132231248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5781 (or 5775 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The spelling of 212132231248 in words is "two hundred twelve billion, one hundred thirty-two million, two hundred thirty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 73 112 119 136 146 238 272 283 292 476 511 566 584 952 1022 1132 1168 1241 1904 1981 2044 2264 2482 3962 4088 4528 4811 4964 5393 7924 8176 8687 9622 9928 10786 15848 17374 19244 19856 20659 21572 31696 33677 34748 37751 38488 41318 43144 67354 69496 75502 76976 82636 86288 91681 134708 138992 144613 151004 165272 183362 269416 289226 302008 330544 351203 366724 393689 538832 578452 604016 641767 702406 733448 787378 1156904 1283534 1404812 1466896 1526219 1574756 2313808 2458421 2567068 2755823 2809624 3052438 3149512 4916842 5134136 5511646 5619248 6104876 6299024 6692713 9833684 10268272 10683533 11023292 12209752 13385426 19667368 21367066 22046584 24419504 25945723 26770852 39334736 42734132 44093168 46848991 51891446 53541704 85468264 93697982 103782892 107083408 111413987 170936528 181620061 187395964 207565784 222827974 363240122 374791928 415131568 445655948 726480244 749583856 779897909 891311896 1452960488 1559795818 1782623792 1894037779 2905920976 3119591636 3788075558 6239183272 7576151116 12478366544 13258264453 15152302232 26516528906 30304604464 53033057812 106066115624 212132231248