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2722240 = 26547181
BaseRepresentation
bin1010011000100111000000
312010022012201
422120213000
51144102430
6134202544
732065363
oct12304700
95108181
102722240
11159a294
12ab3454
137440c1
1450c0da
1538b8ca
hex2989c0

2722240 has 56 divisors (see below), whose sum is σ = 6656832. Its totient is φ = 1059840.

The previous prime is 2722231. The next prime is 2722241. The reversal of 2722240 is 422272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2722241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14950 + ... + 15130.

It is an arithmetic number, because the mean of its divisors is an integer number (118872).

22722240 is an apocalyptic number.

2722240 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 2722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328416).

2722240 is an abundant number, since it is smaller than the sum of its proper divisors (3934592).

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

2722240 is a wasteful number, since it uses less digits than its factorization.

2722240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 2722240 is about 1649.9212102401. The cubic root of 2722240 is about 139.6289494235.

Subtracting from 2722240 its reverse (422272), we obtain a cube (2299968 = 1323).

The spelling of 2722240 in words is "two million, seven hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 160 181 188 235 320 362 376 470 724 752 905 940 1448 1504 1810 1880 2896 3008 3620 3760 5792 7240 7520 8507 11584 14480 15040 17014 28960 34028 42535 57920 68056 85070 136112 170140 272224 340280 544448 680560 1361120 2722240