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274164220 = 225112193587
BaseRepresentation
bin10000010101110…
…110100111111100
3201002212222121101
4100111312213330
51030141223340
643112142444
76536233411
oct2025664774
9632788541
10274164220
11130838700
1277997a24
1344a53365
14285aa108
1519108c9a
hex105769fc

274164220 has 72 divisors (see below), whose sum is σ = 637206192. Its totient is φ = 99010560.

The previous prime is 274164203. The next prime is 274164221. The reversal of 274164220 is 22461472.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274164221) 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, 466767 + ... + 467353.

It is an arithmetic number, because the mean of its divisors is an integer number (8850086).

Almost surely, 2274164220 is an apocalyptic number.

274164220 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 274164220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318603096).

274164220 is an abundant number, since it is smaller than the sum of its proper divisors (363041972).

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

274164220 is a wasteful number, since it uses less digits than its factorization.

274164220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 274164220 is about 16557.9050607255. The cubic root of 274164220 is about 649.6362619745.

The spelling of 274164220 in words is "two hundred seventy-four million, one hundred sixty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 193 220 242 386 484 587 605 772 965 1174 1210 1930 2123 2348 2420 2935 3860 4246 5870 6457 8492 10615 11740 12914 21230 23353 25828 32285 42460 46706 64570 71027 93412 113291 116765 129140 142054 226582 233530 284108 355135 453164 467060 566455 710270 1132910 1246201 1420540 2265820 2492402 4984804 6231005 12462010 13708211 24924020 27416422 54832844 68541055 137082110 274164220