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208234980 = 223251318831
BaseRepresentation
bin11000110100101…
…10100111100100
3112111211102200200
430122112213210
5411302004410
632355110500
75105653032
oct1432264744
9474742620
10208234980
11a75a8028
12598a2430
13341ab685
141d927552
15134343c0
hexc6969e4

208234980 has 72 divisors (see below), whose sum is σ = 636539904. Its totient is φ = 55099200.

The previous prime is 208234979. The next prime is 208235011. The reversal of 208234980 is 89432802.

208234980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19165 + ... + 27995.

It is an arithmetic number, because the mean of its divisors is an integer number (8840832).

Almost surely, 2208234980 is an apocalyptic number.

208234980 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 208234980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318269952).

208234980 is an abundant number, since it is smaller than the sum of its proper divisors (428304924).

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

208234980 is a wasteful number, since it uses less digits than its factorization.

208234980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8977 (or 8972 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 208234980 is about 14430.3492681224. The cubic root of 208234980 is about 592.7222474473.

The spelling of 208234980 in words is "two hundred eight million, two hundred thirty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 393 524 655 786 1179 1310 1572 1965 2358 2620 3930 4716 5895 7860 8831 11790 17662 23580 26493 35324 44155 52986 79479 88310 105972 132465 158958 176620 264930 317916 397395 529860 794790 1156861 1589580 2313722 3470583 4627444 5784305 6941166 10411749 11568610 13882332 17352915 20823498 23137220 34705830 41646996 52058745 69411660 104117490 208234980