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229034534432 = 2511276912
BaseRepresentation
bin1101010101001110000…
…1011010011000100000
3210220011210212212002112
43111103201122120200
512223030320100212
6253114512534452
722355455264304
oct3252341323040
9726153785075
10229034534432
1189151029700
123847b251428
13187a0678c72
14b12a20bd04
155e5743e422
hex355385a620

229034534432 has 54 divisors (see below), whose sum is σ = 495694710567. Its totient is φ = 104093070400.

The previous prime is 229034534419. The next prime is 229034534479. The reversal of 229034534432 is 234435430922.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 114517267216 + 114517267216 = 338404^2 + 338404^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=338404.

It is a super-4 number, since 4×2290345344324 (a number of 47 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 229034534432.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29775707 + ... + 29783397.

Almost surely, 2229034534432 is an apocalyptic number.

229034534432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229034534432

229034534432 is an abundant number, since it is smaller than the sum of its proper divisors (266660176135).

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

229034534432 is an frugal number, since it uses more digits than its factorization.

229034534432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15414 (or 7704 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 41.

The spelling of 229034534432 in words is "two hundred twenty-nine billion, thirty-four million, five hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 7691 15382 30764 61528 84601 123056 169202 246112 338404 676808 930611 1353616 1861222 2707232 3722444 7444888 14889776 29779552 59151481 118302962 236605924 473211848 650666291 946423696 1301332582 1892847392 2602665164 5205330328 7157329201 10410660656 14314658402 20821321312 28629316804 57258633608 114517267216 229034534432