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201898368 = 2732725037
BaseRepresentation
bin11000000100010…
…11100110000000
3112001220111111100
430002023212000
5403141221433
632011214400
75001051660
oct1402134600
9461814440
10201898368
11a3a6a261
1257747400
1332aa03b9
141cb581a0
1512ad1b13
hexc08b980

201898368 has 96 divisors (see below), whose sum is σ = 664007760. Its totient is φ = 57682944.

The previous prime is 201898339. The next prime is 201898387. The reversal of 201898368 is 863898102.

201898368 is a `hidden beast` number, since 201 + 89 + 8 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4455 + ... + 20582.

Almost surely, 2201898368 is an apocalyptic number.

201898368 is a gapful number since it is divisible by the number (28) 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 201898368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332003880).

201898368 is an abundant number, since it is smaller than the sum of its proper divisors (462109392).

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

201898368 is a wasteful number, since it uses less digits than its factorization.

201898368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25064 (or 25049 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 201898368 is about 14209.0945524337. The cubic root of 201898368 is about 586.6480113443.

The spelling of 201898368 in words is "two hundred one million, eight hundred ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 25037 50074 75111 100148 150222 175259 200296 225333 300444 350518 400592 450666 525777 600888 701036 801184 901332 1051554 1201776 1402072 1577331 1602368 1802664 2103108 2403552 2804144 3154662 3204736 3605328 4206216 4807104 5608288 6309324 7210656 8412432 9614208 11216576 12618648 14421312 16824864 22433152 25237296 28842624 33649728 50474592 67299456 100949184 201898368