Search a number
-
+
331332233148 = 223272869745817
BaseRepresentation
bin1001101001001001111…
…00001010011110111100
31011200020010001101102200
410310210330022132330
520412032022430043
6412113435351500
732636502341010
oct4644474123674
91150203041380
10331332233148
11118576453864
125426a5b2590
1325324206237
141207249c540
1589432437d3
hex4d24f0a7bc

331332233148 has 72 divisors (see below), whose sum is σ = 957236253792. Its totient is φ = 94660987392.

The previous prime is 331332233119. The next prime is 331332233149. The reversal of 331332233148 is 841332233133.

331332233148 is a `hidden beast` number, since 3 + 3 + 1 + 332 + 2 + 3 + 314 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331332233149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7208736 + ... + 7254552.

Almost surely, 2331332233148 is an apocalyptic number.

It is an amenable number.

331332233148 is an abundant number, since it is smaller than the sum of its proper divisors (625904020644).

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

331332233148 is a wasteful number, since it uses less digits than its factorization.

331332233148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74531 (or 74526 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The spelling of 331332233148 in words is "three hundred thirty-one billion, three hundred thirty-two million, two hundred thirty-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 28697 45817 57394 86091 91634 114788 137451 172182 183268 200879 258273 274902 320719 344364 401758 412353 516546 549804 602637 641438 803516 824706 962157 1033092 1205274 1282876 1649412 1807911 1924314 2410548 2886471 3615822 3848628 5772942 7231644 11545884 1314810449 2629620898 3944431347 5259241796 7888862694 9203673143 11833294041 15777725388 18407346286 23666588082 27611019429 36814692572 47333176164 55222038858 82833058287 110444077716 165666116574 331332233148