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2054220 = 223576773
BaseRepresentation
bin111110101100001001100
310212100212020
413311201030
51011213340
6112010140
723313660
oct7654114
93770766
102054220
111183403
12830950
1356c01c
143b68a0
152a89d0
hex1f584c

2054220 has 96 divisors (see below), whose sum is σ = 6763008. Its totient is φ = 456192.

The previous prime is 2054207. The next prime is 2054231. The reversal of 2054220 is 224502.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2054220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28104 + ... + 28176.

It is an arithmetic number, because the mean of its divisors is an integer number (70448).

22054220 is an apocalyptic number.

2054220 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 2054220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381504).

2054220 is an abundant number, since it is smaller than the sum of its proper divisors (4708788).

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

2054220 is a wasteful number, since it uses less digits than its factorization.

2054220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2054220 is about 1433.2550366212. The cubic root of 2054220 is about 127.1205171732.

Adding to 2054220 its reverse (224502), we get a palindrome (2278722).

The spelling of 2054220 in words is "two million, fifty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 67 70 73 84 105 134 140 146 201 210 219 268 292 335 365 402 420 438 469 511 670 730 804 876 938 1005 1022 1095 1340 1407 1460 1533 1876 2010 2044 2190 2345 2555 2814 3066 4020 4380 4690 4891 5110 5628 6132 7035 7665 9380 9782 10220 14070 14673 15330 19564 24455 28140 29346 30660 34237 48910 58692 68474 73365 97820 102711 136948 146730 171185 205422 293460 342370 410844 513555 684740 1027110 2054220