Search a number
-
+
227432631072 = 25323487211507
BaseRepresentation
bin1101001111010000001…
…0101000101100100000
3210202001011121201210110
43103310002220230200
512211240223143242
6252251530331320
722300664316153
oct3236402505440
9722034551713
10227432631072
11884a9877a29
12380b2889b40
13185a6827a5a
14b01757dc9a
155db19b639c
hex34f40a8b20

227432631072 has 96 divisors (see below), whose sum is σ = 624249787392. Its totient is φ = 72365508864.

The previous prime is 227432631067. The next prime is 227432631103. The reversal of 227432631072 is 270136234722.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 227432631072.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 969543 + ... + 1181049.

It is an arithmetic number, because the mean of its divisors is an integer number (6502601952).

Almost surely, 2227432631072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227432631072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312124893696).

227432631072 is an abundant number, since it is smaller than the sum of its proper divisors (396817156320).

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

227432631072 is a wasteful number, since it uses less digits than its factorization.

227432631072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212030 (or 212022 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

Adding to 227432631072 its reverse (270136234722), we get a palindrome (497568865794).

The spelling of 227432631072 in words is "two hundred twenty-seven billion, four hundred thirty-two million, six hundred thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 487 552 736 974 1104 1461 1948 2208 2922 3896 5844 7792 11201 11688 15584 22402 23376 33603 44804 46752 67206 89608 134412 179216 211507 268824 358432 423014 537648 634521 846028 1075296 1269042 1692056 2538084 3384112 4864661 5076168 6768224 9729322 10152336 14593983 19458644 20304672 29187966 38917288 58375932 77834576 103003909 116751864 155669152 206007818 233503728 309011727 412015636 467007456 618023454 824031272 1236046908 1648062544 2369089907 2472093816 3296125088 4738179814 4944187632 7107269721 9476359628 9888375264 14214539442 18952719256 28429078884 37905438512 56858157768 75810877024 113716315536 227432631072