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208215040 = 2105113697
BaseRepresentation
bin11000110100100…
…01110000000000
3112111210102100011
430122101300000
5411300340130
632354434304
75105540635
oct1432216000
9474712304
10208215040
11a7594050
1259892994
13341a2587
141d92018c
151342d52a
hexc691c00

208215040 has 88 divisors (see below), whose sum is σ = 545026032. Its totient is φ = 75694080.

The previous prime is 208215037. The next prime is 208215047. The reversal of 208215040 is 40512802.

It is a tau number, because it is divible by the number of its divisors (88).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208215047) 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, 54472 + ... + 58168.

Almost surely, 2208215040 is an apocalyptic number.

208215040 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 208215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272513016).

208215040 is an abundant number, since it is smaller than the sum of its proper divisors (336810992).

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

208215040 is a wasteful number, since it uses less digits than its factorization.

208215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3733 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 208215040 is about 14429.6583466138. The cubic root of 208215040 is about 592.7033277012.

Adding to 208215040 its reverse (40512802), we get a palindrome (248727842).

The spelling of 208215040 in words is "two hundred eight million, two hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2560 2816 3520 3697 5120 5632 7040 7394 11264 14080 14788 18485 28160 29576 36970 40667 56320 59152 73940 81334 118304 147880 162668 203335 236608 295760 325336 406670 473216 591520 650672 813340 946432 1183040 1301344 1626680 1892864 2366080 2602688 3253360 3785728 4732160 5205376 6506720 9464320 10410752 13013440 18928640 20821504 26026880 41643008 52053760 104107520 208215040