Search a number
-
+
208237480 = 235113712791
BaseRepresentation
bin11000110100101…
…11001110101000
3112111211120010021
430122113032220
5411302044410
632355130224
75105663233
oct1432271650
9474746107
10208237480
11a75a99a0
12598a3974
13341ac859
141d92841a
1513434eda
hexc6973a8

208237480 has 64 divisors (see below), whose sum is σ = 524983680. Its totient is φ = 73670400.

The previous prime is 208237439. The next prime is 208237489. The reversal of 208237480 is 84732802.

208237480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (208237489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9885 + ... + 22675.

It is an arithmetic number, because the mean of its divisors is an integer number (8202870).

Almost surely, 2208237480 is an apocalyptic number.

208237480 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 208237480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262491840).

208237480 is an abundant number, since it is smaller than the sum of its proper divisors (316746200).

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

208237480 is a wasteful number, since it uses less digits than its factorization.

208237480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12850 (or 12846 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 208237480 is about 14430.4358908524. The cubic root of 208237480 is about 592.7246194467.

The spelling of 208237480 in words is "two hundred eight million, two hundred thirty-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 407 440 740 814 1480 1628 2035 3256 4070 8140 12791 16280 25582 51164 63955 102328 127910 140701 255820 281402 473267 511640 562804 703505 946534 1125608 1407010 1893068 2366335 2814020 3786136 4732670 5205937 5628040 9465340 10411874 18930680 20823748 26029685 41647496 52059370 104118740 208237480