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2722140 = 22335712
BaseRepresentation
bin1010011000100101011100
312010022002000
422120211130
51144102030
6134202300
732065161
oct12304534
95108060
102722140
11159a203
12ab3390
13744045
1450c068
1538b860
hex29895c

2722140 has 72 divisors (see below), whose sum is σ = 8589840. Its totient is φ = 715680.

The previous prime is 2722117. The next prime is 2722147. The reversal of 2722140 is 412272.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2722147) 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, 38305 + ... + 38375.

22722140 is an apocalyptic number.

2722140 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 2722140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294920).

2722140 is an abundant number, since it is smaller than the sum of its proper divisors (5867700).

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

2722140 is a wasteful number, since it uses less digits than its factorization.

2722140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2722140 is about 1649.8909054844. The cubic root of 2722140 is about 139.6272396715.

It can be divided in two parts, 27221 and 40, that added together give a triangular number (27261 = T233).

The spelling of 2722140 in words is "two million, seven hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 90 108 135 142 180 213 270 284 355 426 540 639 710 852 1065 1278 1420 1917 2130 2556 3195 3834 4260 5041 6390 7668 9585 10082 12780 15123 19170 20164 25205 30246 38340 45369 50410 60492 75615 90738 100820 136107 151230 181476 226845 272214 302460 453690 544428 680535 907380 1361070 2722140