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2253627740 = 2257138913913
BaseRepresentation
bin1000011001010011…
…1010000101011100
312211001121011002002
42012110322011130
514103412041430
61011343021432
7106563343160
oct20624720534
95731534062
102253627740
11a57128971
1252a89a878
1329bb8a050
1417543aca0
15d2cb1845
hex8653a15c

2253627740 has 96 divisors (see below), whose sum is σ = 5890631040. Its totient is φ = 705171456.

The previous prime is 2253627713. The next prime is 2253627781. The reversal of 2253627740 is 477263522.

It is a junction number, because it is equal to n+sod(n) for n = 2253627694 and 2253627703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155024 + ... + 168936.

It is an arithmetic number, because the mean of its divisors is an integer number (61360740).

Almost surely, 22253627740 is an apocalyptic number.

2253627740 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 2253627740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945315520).

2253627740 is an abundant number, since it is smaller than the sum of its proper divisors (3637003300).

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

2253627740 is a wasteful number, since it uses less digits than its factorization.

2253627740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14031 (or 14029 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 38.

The square root of 2253627740 is about 47472.3892383773. The cubic root of 2253627740 is about 1311.0745684592.

The spelling of 2253627740 in words is "two billion, two hundred fifty-three million, six hundred twenty-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 89 91 130 140 178 182 260 356 364 445 455 623 890 910 1157 1246 1780 1820 2314 2492 3115 4628 5785 6230 8099 11570 12460 13913 16198 23140 27826 32396 40495 55652 69565 80990 97391 139130 161980 180869 194782 278260 361738 389564 486955 723476 904345 973910 1238257 1266083 1808690 1947820 2476514 2532166 3617380 4953028 5064332 6191285 6330415 8667799 12382570 12660830 16097341 17335598 24765140 25321660 32194682 34671196 43338995 64389364 80486705 86677990 112681387 160973410 173355980 225362774 321946820 450725548 563406935 1126813870 2253627740