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331122240 = 26325114973
BaseRepresentation
bin10011101111001…
…000011001000000
3212002001202022200
4103233020121000
51134231402430
652505033200
711130330651
oct2357103100
9762052280
10331122240
1115aa01049
1292a85800
13537a6827
1431d95528
151e10a460
hex13bc8640

331122240 has 84 divisors (see below), whose sum is σ = 1138932444. Its totient is φ = 88298496.

The previous prime is 331122229. The next prime is 331122247. The reversal of 331122240 is 42221133.

It can be written as a sum of positive squares in 2 ways, for example, as 242611776 + 88510464 = 15576^2 + 9408^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (331122247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54607 + ... + 60366.

Almost surely, 2331122240 is an apocalyptic number.

331122240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331122240 is an abundant number, since it is smaller than the sum of its proper divisors (807810204).

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

331122240 is a wasteful number, since it uses less digits than its factorization.

331122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114996 (or 114983 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 331122240 is about 18196.7645475782. The cubic root of 331122240 is about 691.8247855146.

Adding to 331122240 its reverse (42221133), we get a palindrome (373343373).

The spelling of 331122240 in words is "three hundred thirty-one million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 114973 229946 344919 459892 574865 689838 919784 1034757 1149730 1379676 1724595 1839568 2069514 2299460 2759352 3449190 3679136 4139028 4598920 5173785 5518704 6898380 7358272 8278056 9197840 10347570 11037408 13796760 16556112 18395680 20695140 22074816 27593520 33112224 36791360 41390280 55187040 66224448 82780560 110374080 165561120 331122240