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200215040 = 295197397
BaseRepresentation
bin10111110111100…
…00101000000000
3111221201222101212
423323300220000
5402223340130
631511145252
74650541214
oct1373605000
9457658355
10200215040
11a301a583
1257075228
133263114c
141c83a944
151289ce95
hexbef0a00

200215040 has 80 divisors (see below), whose sum is σ = 483698952. Its totient is φ = 79478784.

The previous prime is 200215039. The next prime is 200215049. The reversal of 200215040 is 40512002.

It can be written as a sum of positive squares in 4 ways, for example, as 199600384 + 614656 = 14128^2 + 784^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (200215049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 504122 + ... + 504518.

Almost surely, 2200215040 is an apocalyptic number.

200215040 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 200215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241849476).

200215040 is an abundant number, since it is smaller than the sum of its proper divisors (283483912).

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

200215040 is an equidigital number, since it uses as much as digits as its factorization.

200215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 200215040 is about 14149.7363933043. The cubic root of 200215040 is about 585.0130661605.

Adding to 200215040 its reverse (40512002), we get a palindrome (240727042).

The spelling of 200215040 in words is "two hundred million, two hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 197 256 320 394 397 512 640 788 794 985 1280 1576 1588 1970 1985 2560 3152 3176 3940 3970 6304 6352 7880 7940 12608 12704 15760 15880 25216 25408 31520 31760 50432 50816 63040 63520 78209 100864 101632 126080 127040 156418 203264 252160 254080 312836 391045 504320 508160 625672 782090 1016320 1251344 1564180 2502688 3128360 5005376 6256720 10010752 12513440 20021504 25026880 40043008 50053760 100107520 200215040