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2239240 = 235173789
BaseRepresentation
bin1000100010101100001000
311012202122211
420202230020
51033123430
6115554504
725014253
oct10425410
94182584
102239240
11129a413
128bba34
136052c3
1442409a
152e372a
hex222b08

2239240 has 64 divisors (see below), whose sum is σ = 5540400. Its totient is φ = 811008.

The previous prime is 2239231. The next prime is 2239247. The reversal of 2239240 is 429322.

It can be written as a sum of positive squares in 8 ways, for example, as 1425636 + 813604 = 1194^2 + 902^2 .

It is not an unprimeable number, because it can be changed into a prime (2239247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25116 + ... + 25204.

22239240 is an apocalyptic number.

2239240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2239240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770200).

2239240 is an abundant number, since it is smaller than the sum of its proper divisors (3301160).

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

2239240 is a wasteful number, since it uses less digits than its factorization.

2239240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 2239240 is about 1496.4090349901. The cubic root of 2239240 is about 130.8278530528.

The spelling of 2239240 in words is "two million, two hundred thirty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 37 40 68 74 85 89 136 148 170 178 185 296 340 356 370 445 629 680 712 740 890 1258 1480 1513 1780 2516 3026 3145 3293 3560 5032 6052 6290 6586 7565 12104 12580 13172 15130 16465 25160 26344 30260 32930 55981 60520 65860 111962 131720 223924 279905 447848 559810 1119620 2239240