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20004000200 = 23527321372
BaseRepresentation
bin10010101000010101…
…001101000111001000
31220122010001111111022
4102220111031013020
5311432011001300
613104551052012
71305501124202
oct225025150710
956563044438
1020004000200
118535811478
123a63371008
131b6a478612
14d7aa47772
157c12ab285
hex4a854d1c8

20004000200 has 108 divisors (see below), whose sum is σ = 47501852265. Its totient is φ = 7834383360.

The previous prime is 20004000167. The next prime is 20004000217. The reversal of 20004000200 is 200040002.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 3818116 + 20000182084 = 1954^2 + 141422^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=100010.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 146014532 + ... + 146014668.

Almost surely, 220004000200 is an apocalyptic number.

20004000200 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 20004000200

20004000200 is an abundant number, since it is smaller than the sum of its proper divisors (27497852065).

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

20004000200 is an equidigital number, since it uses as much as digits as its factorization.

20004000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 20004000200 its reverse (200040002), we get a palindrome (20204040202).

20004000200 divided by its reverse (200040002) gives a square (100 = 102).

The spelling of 20004000200 in words is "twenty billion, four million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 137 146 200 274 292 365 548 584 685 730 1096 1370 1460 1825 2740 2920 3425 3650 5329 5480 6850 7300 10001 10658 13700 14600 18769 20002 21316 26645 27400 37538 40004 42632 50005 53290 75076 80008 93845 100010 106580 133225 150152 187690 200020 213160 250025 266450 375380 400040 469225 500050 532900 730073 750760 938450 1000100 1065800 1370137 1460146 1876900 2000200 2740274 2920292 3650365 3753800 5480548 5840584 6850685 7300730 10961096 13701370 14601460 18251825 27402740 29202920 34253425 36503650 54805480 68506850 73007300 100020001 137013700 146014600 200040002 274027400 400080004 500100005 800160008 1000200010 2000400020 2500500025 4000800040 5001000050 10002000100 20004000200