Search a number
-
+
332200221312 = 27353131124601
BaseRepresentation
bin1001101010110001010…
…11010001101010000000
31011202110121022202100110
410311120223101222000
520420321224040222
6412335523351320
733000142201521
oct4653053215200
91152417282313
10332200221312
11118981401153
1254471222540
1325431ca1cbb
1412115884848
15899454a30c
hex4d58ad1a80

332200221312 has 128 divisors (see below), whose sum is σ = 905926317120. Its totient is φ = 107813888000.

The previous prime is 332200221307. The next prime is 332200221329. The reversal of 332200221312 is 213122002233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3322002213122 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2603812 + ... + 2728412.

Almost surely, 2332200221312 is an apocalyptic number.

332200221312 is a gapful number since it is divisible by the number (32) 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 332200221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452963158560).

332200221312 is an abundant number, since it is smaller than the sum of its proper divisors (573726095808).

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

332200221312 is a wasteful number, since it uses less digits than its factorization.

332200221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124802 (or 124790 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 332200221312 its reverse (213122002233), we get a palindrome (545322223545).

The spelling of 332200221312 in words is "three hundred thirty-two billion, two hundred million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 131 159 192 212 262 318 384 393 424 524 636 786 848 1048 1272 1572 1696 2096 2544 3144 3392 4192 5088 6288 6784 6943 8384 10176 12576 13886 16768 20352 20829 25152 27772 41658 50304 55544 83316 111088 124601 166632 222176 249202 333264 373803 444352 498404 666528 747606 888704 996808 1333056 1495212 1993616 2666112 2990424 3987232 5980848 6603853 7974464 11961696 13207706 15948928 16322731 19811559 23923392 26415412 32645462 39623118 47846784 48968193 52830824 65290924 79246236 97936386 105661648 130581848 158492472 195872772 211323296 261163696 316984944 391745544 422646592 522327392 633969888 783491088 845293184 865104743 1044654784 1267939776 1566982176 1730209486 2089309568 2535879552 2595314229 3133964352 3460418972 5190628458 6267928704 6920837944 10381256916 13841675888 20762513832 27683351776 41525027664 55366703552 83050055328 110733407104 166100110656 332200221312