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212204133024 = 25313170035363
BaseRepresentation
bin1100010110100001011…
…0100001101010100000
3202021201212111212201020
43011220112201222200
511434043224224044
6241252451005440
721221421240522
oct3055026415240
9667655455636
10212204133024
1181aa4778a54
1235162899880
131701a857270
14a3b0c79a12
1557beab8a19
hex31685a1aa0

212204133024 has 48 divisors (see below), whose sum is σ = 599884764192. Its totient is φ = 65293579008.

The previous prime is 212204133023. The next prime is 212204133047. The reversal of 212204133024 is 420331402212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 212204132985 and 212204133003.

It is not an unprimeable number, because it can be changed into a prime (212204133023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85016434 + ... + 85018929.

It is an arithmetic number, because the mean of its divisors is an integer number (12497599254).

Almost surely, 2212204133024 is an apocalyptic number.

212204133024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212204133024 is an abundant number, since it is smaller than the sum of its proper divisors (387680631168).

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

212204133024 is a wasteful number, since it uses less digits than its factorization.

212204133024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170035389 (or 170035381 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 212204133024 its reverse (420331402212), we get a palindrome (632535535236).

The spelling of 212204133024 in words is "two hundred twelve billion, two hundred four million, one hundred thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 170035363 340070726 510106089 680141452 1020212178 1360282904 2040424356 2210459719 2720565808 4080848712 4420919438 5441131616 6631379157 8161697424 8841838876 13262758314 16323394848 17683677752 26525516628 35367355504 53051033256 70734711008 106102066512 212204133024