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200020000 = 255473137
BaseRepresentation
bin10111110110000…
…01000000100000
3111221101001212011
423323001000200
5402201120000
631503042304
74646066455
oct1373010040
9457331764
10200020000
11a29a6a94
1256ba0394
133259343b
141c7c982c
15128602ba
hexbec1020

200020000 has 120 divisors (see below), whose sum is σ = 502461036. Its totient is φ = 78336000.

The previous prime is 200019997. The next prime is 200020031. The reversal of 200020000 is 20002.

It can be written as a sum of positive squares in 10 ways, for example, as 8363664 + 191656336 = 2892^2 + 13844^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1459932 + ... + 1460068.

Almost surely, 2200020000 is an apocalyptic number.

200020000 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 200020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251230518).

200020000 is an abundant number, since it is smaller than the sum of its proper divisors (302441036).

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

200020000 is an equidigital number, since it uses as much as digits as its factorization.

200020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 4.

The square root of 200020000 is about 14142.8427128354. The cubic root of 200020000 is about 584.8230404444.

Adding to 200020000 its reverse (20002), we get a palindrome (200040002).

Multiplying 200020000 by its reverse (20002), we get a square (4000800040000 = 20002002).

200020000 divided by its reverse (20002) gives a 4-th power (10000 = 104).

The spelling of 200020000 in words is "two hundred million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 100 125 137 146 160 200 250 274 292 365 400 500 548 584 625 685 730 800 1000 1096 1168 1250 1370 1460 1825 2000 2192 2336 2500 2740 2920 3425 3650 4000 4384 5000 5480 5840 6850 7300 9125 10000 10001 10960 11680 13700 14600 17125 18250 20000 20002 21920 27400 29200 34250 36500 40004 45625 50005 54800 58400 68500 73000 80008 85625 91250 100010 109600 137000 146000 160016 171250 182500 200020 250025 274000 292000 320032 342500 365000 400040 500050 548000 685000 730000 800080 1000100 1250125 1370000 1460000 1600160 2000200 2500250 2740000 4000400 5000500 6250625 8000800 10001000 12501250 20002000 25002500 40004000 50005000 100010000 200020000