Search a number
-
+
230220000022032 = 24322746975820049
BaseRepresentation
bin110100010110001001000101…
…010100100100111000010000
31010012010211001122011220000200
4310112021011110210320100
5220133411030001201112
62133345335152415200
766330563134236126
oct6426110524447020
91105124048156020
10230220000022032
116739a83220a129
12219a2218247500
139b5c864401c57
1440bc9c9381916
151b9383d05ecdc
hexd16245524e10

230220000022032 has 60 divisors (see below), whose sum is σ = 644298706244700. Its totient is φ = 76739707459584.

The previous prime is 230220000022021. The next prime is 230220000022039.

230220000022032 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 131642028343296 + 98577971678736 = 11473536^2 + 9928644^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 230220000021996 and 230220000022014.

It is not an unprimeable number, because it can be changed into a prime (230220000022039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36646344 + ... + 42466392.

It is an arithmetic number, because the mean of its divisors is an integer number (10738311770745).

Almost surely, 2230220000022032 is an apocalyptic number.

It is an amenable number.

230220000022032 is an abundant number, since it is smaller than the sum of its proper divisors (414078706222668).

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

230220000022032 is a wasteful number, since it uses less digits than its factorization.

230220000022032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6094760 (or 6094751 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

It can be divided in two parts, 2302200000 and 22032, that added together give a palindrome (2302222032).

The spelling of 230220000022032 in words is "two hundred thirty trillion, two hundred twenty billion, twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 274697 549394 824091 1098788 1648182 2197576 2472273 3296364 4395152 4944546 5820049 6592728 9889092 11640098 13185456 17460147 19778184 23280196 34920294 39556368 46560392 52380441 69840588 93120784 104760882 139681176 209521764 279362352 419043528 838087056 1598750000153 3197500000306 4796250000459 6395000000612 9592500000918 12790000001224 14388750001377 19185000001836 25580000002448 28777500002754 38370000003672 57555000005508 76740000007344 115110000011016 230220000022032