Search a number
-
+
232833270784 = 2101728872
BaseRepresentation
bin1101100011010111110…
…0011100010000000000
3211020222112212122201111
43120311330130100000
512303320304131114
6254543453013104
722551553101352
oct3306574342000
9736875778644
10232833270784
118a820347534
123915b484194
1318c5769015a
14b3aa9310d2
1560cabaabc4
hex3635f1c400

232833270784 has 99 divisors (see below), whose sum is σ = 494986500853. Its totient is φ = 109445070848.

The previous prime is 232833270781. The next prime is 232833270821. The reversal of 232833270784 is 487072338232.

The square root of 232833270784 is 482528.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 181271577600 + 51561693184 = 425760^2 + 227072^2 .

It is a super-2 number, since 2×2328332707842 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (232833270781) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 262494789 + ... + 262495675.

Almost surely, 2232833270784 is an apocalyptic number.

232833270784 is the 482528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232833270784

232833270784 is an abundant number, since it is smaller than the sum of its proper divisors (262153230069).

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

232833270784 is an frugal number, since it uses more digits than its factorization.

232833270784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 49.

Multiplying 232833270784 by its sum of digits (49), we get a square (11408830268416 = 33776962).

The spelling of 232833270784 in words is "two hundred thirty-two billion, eight hundred thirty-three million, two hundred seventy thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 512 544 578 887 1024 1088 1156 1774 2176 2312 3548 4352 4624 7096 8704 9248 14192 15079 17408 18496 28384 30158 36992 56768 60316 73984 113536 120632 147968 227072 241264 256343 295936 454144 482528 512686 786769 908288 965056 1025372 1573538 1930112 2050744 3147076 3860224 4101488 6294152 7720448 8202976 12588304 13375073 15440896 16405952 25176608 26750146 32811904 50353216 53500292 65623808 100706432 107000584 131247616 201412864 214001168 227376241 262495232 402825728 428002336 454752482 805651456 856004672 909504964 1712009344 1819009928 3424018688 3638019856 6848037376 7276039712 13696074752 14552079424 29104158848 58208317696 116416635392 232833270784