Search a number
-
+
33230031210 = 23256110159929
BaseRepresentation
bin11110111100101010…
…100000100101101010
310011202212011111012200
4132330222200211222
51021023341444320
623133214521030
72254320414315
oct367452404552
9104685144180
1033230031210
1113102539312
126534806176
133197619b7c
14187340d97c
15ce74aa290
hex7bcaa096a

33230031210 has 96 divisors (see below), whose sum is σ = 88685372880. Its totient is φ = 8629632000.

The previous prime is 33230031169. The next prime is 33230031217. The reversal of 33230031210 is 1213003233.

33230031210 is a `hidden beast` number, since 332 + 300 + 31 + 2 + 1 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6258866769 + 26971164441 = 79113^2 + 164229^2 .

It is a super-2 number, since 2×332300312102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (33230031217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524526 + ... + 584454.

Almost surely, 233230031210 is an apocalyptic number.

33230031210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33230031210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44342686440).

33230031210 is an abundant number, since it is smaller than the sum of its proper divisors (55455341670).

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

33230031210 is a wasteful number, since it uses less digits than its factorization.

33230031210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60104 (or 60101 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 33230031210 its reverse (1213003233), we get a palindrome (34443034443).

The spelling of 33230031210 in words is "thirty-three billion, two hundred thirty million, thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 101 122 183 202 303 305 366 505 549 606 610 909 915 1010 1098 1515 1818 1830 2745 3030 4545 5490 6161 9090 12322 18483 30805 36966 55449 59929 61610 92415 110898 119858 179787 184830 277245 299645 359574 539361 554490 599290 898935 1078722 1797870 2696805 3655669 5393610 6052829 7311338 10967007 12105658 18158487 18278345 21934014 30264145 32901021 36316974 36556690 54475461 54835035 60528290 65802042 90792435 108950922 109670070 164505105 181584870 272377305 329010210 369222569 544754610 738445138 1107667707 1846112845 2215335414 3323003121 3692225690 5538338535 6646006242 11076677070 16615015605 33230031210