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201225640 = 23571179827
BaseRepresentation
bin10111111111001…
…11010110101000
3112000122022200111
423333213112220
5403003210030
631544544104
74662250450
oct1377472650
9460568614
10201225640
11a364a890
1257482034
13328c6135
141ca20d60
15129ec62a
hexbfe75a8

201225640 has 128 divisors (see below), whose sum is σ = 572313600. Its totient is φ = 61850880.

The previous prime is 201225631. The next prime is 201225649. The reversal of 201225640 is 46522102.

201225640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201225631) and next prime (201225649).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (201225649) 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, 242907 + ... + 243733.

It is an arithmetic number, because the mean of its divisors is an integer number (4471200).

Almost surely, 2201225640 is an apocalyptic number.

201225640 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 201225640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286156800).

201225640 is an abundant number, since it is smaller than the sum of its proper divisors (371087960).

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

201225640 is a wasteful number, since it uses less digits than its factorization.

201225640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 201225640 is about 14185.4023559432. The cubic root of 201225640 is about 585.9957133724.

Adding to 201225640 its reverse (46522102), we get a palindrome (247747742).

The spelling of 201225640 in words is "two hundred one million, two hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 79 88 110 140 154 158 220 280 308 316 385 395 440 553 616 632 770 790 827 869 1106 1540 1580 1654 1738 2212 2765 3080 3160 3308 3476 4135 4345 4424 5530 5789 6083 6616 6952 8270 8690 9097 11060 11578 12166 16540 17380 18194 22120 23156 24332 28945 30415 33080 34760 36388 45485 46312 48664 57890 60830 63679 65333 72776 90970 115780 121660 127358 130666 181940 231560 243320 254716 261332 318395 326665 363880 457331 509432 522664 636790 653330 718663 914662 1273580 1306660 1437326 1829324 2286655 2547160 2613320 2874652 3593315 3658648 4573310 5030641 5749304 7186630 9146620 10061282 14373260 18293240 20122564 25153205 28746520 40245128 50306410 100612820 201225640