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202214740 = 225713137811
BaseRepresentation
bin11000000110110…
…00110101010100
3112002111120110211
430003120311110
5403231332430
632022055204
75003540230
oct1403306524
9462446424
10202214740
11a4165a22
125787a504
1332b813c0
141cbdb5c0
1512b4572a
hexc0d8d54

202214740 has 96 divisors (see below), whose sum is σ = 527111424. Its totient is φ = 63452160.

The previous prime is 202214713. The next prime is 202214741. The reversal of 202214740 is 47412202.

202214740 = T400 + T401 + ... + T1084.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202214741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248935 + ... + 249745.

It is an arithmetic number, because the mean of its divisors is an integer number (5490744).

Almost surely, 2202214740 is an apocalyptic number.

202214740 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 202214740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263555712).

202214740 is an abundant number, since it is smaller than the sum of its proper divisors (324896684).

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

202214740 is a wasteful number, since it uses less digits than its factorization.

202214740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 202214740 is about 14220.2229237097. Note that the first 3 decimals coincide. The cubic root of 202214740 is about 586.9542745847.

Adding to 202214740 its reverse (47412202), we get a palindrome (249626942).

The spelling of 202214740 in words is "two hundred two million, two hundred fourteen thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 137 140 182 260 274 364 455 548 685 811 910 959 1370 1622 1781 1820 1918 2740 3244 3562 3836 4055 4795 5677 7124 8110 8905 9590 10543 11354 12467 16220 17810 19180 21086 22708 24934 28385 35620 42172 49868 52715 56770 62335 73801 105430 111107 113540 124670 147602 210860 222214 249340 295204 369005 444428 555535 738010 777749 1111070 1444391 1476020 1555498 2222140 2888782 3110996 3888745 5777564 7221955 7777490 10110737 14443910 15554980 20221474 28887820 40442948 50553685 101107370 202214740