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332230424124 = 223192373735557
BaseRepresentation
bin1001101010110100111…
…10011111011000111100
31011202112201011012211010
410311122132133120330
520420401442032444
6412342522555220
733000660003414
oct4653236373074
91152481135733
10332230424124
1111899745aa55
125447b368b10
13254383183a1
14121198a7644
1589970142b9
hex4d5a79f63c

332230424124 has 144 divisors (see below), whose sum is σ = 842668477728. Its totient is φ = 101787342336.

The previous prime is 332230424117. The next prime is 332230424293. The reversal of 332230424124 is 421424032233.

It is a super-2 number, since 2×3322304241242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332230424091 and 332230424100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59783154 + ... + 59788710.

Almost surely, 2332230424124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332230424124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421334238864).

332230424124 is an abundant number, since it is smaller than the sum of its proper divisors (510438053604).

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

332230424124 is a wasteful number, since it uses less digits than its factorization.

332230424124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6012 (or 5991 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 332230424124 its reverse (421424032233), we get a palindrome (753654456357).

The spelling of 332230424124 in words is "three hundred thirty-two billion, two hundred thirty million, four hundred twenty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 222 228 361 373 444 703 722 746 1083 1119 1406 1444 1492 2109 2166 2238 2812 4218 4332 4476 5557 7087 8436 11114 13357 13801 14174 16671 21261 22228 26714 27602 28348 33342 40071 41403 42522 53428 55204 66684 80142 82806 85044 105583 134653 160284 165612 205609 211166 262219 269306 316749 403959 411218 422332 524438 538612 616827 633498 786657 807918 822436 1048876 1233654 1266996 1573314 1615836 2006077 2072761 2467308 3146628 3906571 4012154 4145522 4982161 6018231 6218283 7813142 8024308 8291044 9964322 11719713 12036462 12436566 14946483 15626284 19928644 23439426 24072924 24873132 29892966 39382459 46878852 59785932 74224849 76692157 78764918 118147377 148449698 153384314 157529836 222674547 230076471 236294754 296899396 306768628 445349094 460152942 472589508 748266721 890698188 920305884 1457150983 1496533442 2244800163 2914301966 2993066884 4371452949 4489600326 5828603932 8742905898 8979200652 17485811796 27685868677 55371737354 83057606031 110743474708 166115212062 332230424124