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234022032204144 = 24319256603105487
BaseRepresentation
bin110101001101011110000000…
…000110010110000101110000
31010200121021202210111110020120
4311031132000012112011300
5221133204110221013034
62145420123141210240
7100202351055454362
oct6515360006260560
91120537683443216
10234022032204144
1168626206268048
12222b7055100980
13a07724bc12b32
1441b0a26474d32
151c0c6b41b3c49
hexd4d780196170

234022032204144 has 40 divisors (see below), whose sum is σ = 636375701610240. Its totient is φ = 73901694379968.

The previous prime is 234022032204139. The next prime is 234022032204161. The reversal of 234022032204144 is 441402230220432.

It is a happy number.

It is a super-2 number, since 2×2340220322041442 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128301551832 + ... + 128301553655.

It is an arithmetic number, because the mean of its divisors is an integer number (15909392540256).

Almost surely, 2234022032204144 is an apocalyptic number.

234022032204144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234022032204144 is an abundant number, since it is smaller than the sum of its proper divisors (402353669406096).

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

234022032204144 is a wasteful number, since it uses less digits than its factorization.

234022032204144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256603105517 (or 256603105511 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 234022032204144 its reverse (441402230220432), we get a palindrome (675424262424576).

The spelling of 234022032204144 in words is "two hundred thirty-four trillion, twenty-two billion, thirty-two million, two hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 256603105487 513206210974 769809316461 1026412421948 1539618632922 2052824843896 3079237265844 4105649687792 4875459004253 6158474531688 9750918008506 12316949063376 14626377012759 19501836017012 29252754025518 39003672034024 58505508051036 78007344068048 117011016102072 234022032204144