Search a number
-
+
291309222152 = 231321971093733
BaseRepresentation
bin1000011110100110110…
…00011111100100001000
31000211220211200202210002
410033103120133210020
514233100130102102
6341454155342132
730021625350524
oct4172330374410
91024824622702
10291309222152
111025a8509273
124855aa51948
1321616457c00
1410156c20d84
15789e713902
hex43d361f908

291309222152 has 48 divisors (see below), whose sum is σ = 594455366340. Its totient is φ = 133767798528.

The previous prime is 291309222143. The next prime is 291309222163. The reversal of 291309222152 is 251222903192.

It can be written as a sum of positive squares in 6 ways, for example, as 30030810436 + 261278411716 = 173294^2 + 511154^2 .

It is a super-2 number, since 2×2913092221522 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280523 + ... + 813210.

Almost surely, 2291309222152 is an apocalyptic number.

It is an amenable number.

291309222152 is an abundant number, since it is smaller than the sum of its proper divisors (303146144188).

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

291309222152 is a wasteful number, since it uses less digits than its factorization.

291309222152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093962 (or 1093945 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 291309222152 in words is "two hundred ninety-one billion, three hundred nine million, two hundred twenty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 104 169 197 338 394 676 788 1352 1576 2561 5122 10244 20488 33293 66586 133172 266344 1093733 2187466 4374932 8749864 14218529 28437058 56874116 113748232 184840877 215465401 369681754 430930802 739363508 861861604 1478727016 1723723208 2801050213 5602100426 11204200852 22408401704 36413652769 72827305538 145654611076 291309222152