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34228110532 = 22721134494603
BaseRepresentation
bin11111111000001001…
…111000010011000100
310021100102020011122111
4133320021320103010
51030044344014112
623420231110404
72321130065500
oct377011702304
9107312204574
1034228110532
1113574970060
126772b12404
1332c6333a55
141929bbb300
15d54e0c5a7
hex7f82784c4

34228110532 has 72 divisors (see below), whose sum is σ = 76051634400. Its totient is φ = 13328864640.

The previous prime is 34228110509. The next prime is 34228110533. The reversal of 34228110532 is 23501182243.

It is a junction number, because it is equal to n+sod(n) for n = 34228110494 and 34228110503.

It is not an unprimeable number, because it can be changed into a prime (34228110533) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7433743 + ... + 7438345.

It is an arithmetic number, because the mean of its divisors is an integer number (1056272700).

Almost surely, 234228110532 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 34228110532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38025817200).

34228110532 is an abundant number, since it is smaller than the sum of its proper divisors (41823523868).

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

34228110532 is a wasteful number, since it uses less digits than its factorization.

34228110532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8081 (or 8072 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 34228110532 its reverse (23501182243), we get a palindrome (57729292775).

The spelling of 34228110532 in words is "thirty-four billion, two hundred twenty-eight million, one hundred ten thousand, five hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 1078 2156 3449 4603 6898 9206 13796 18412 24143 32221 37939 48286 50633 64442 75878 96572 101266 128884 151756 169001 202532 225547 265573 338002 354431 451094 531146 676004 708862 902188 1062292 1417724 1859011 2481017 3718022 4962034 7436044 9924068 15875747 31751494 63502988 111130229 174633217 222260458 349266434 444520916 698532868 777911603 1222432519 1555823206 2444865038 3111646412 4889730076 8557027633 17114055266 34228110532