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213834700 = 2252432232
BaseRepresentation
bin11001011111011…
…01101111001100
3112220100221001201
430233231233030
5414220202300
633115115244
75204364532
oct1457555714
9486327051
10213834700
11aa7821a2
125b742b24
13353bc411
1420584152
1513b8d66a
hexcbedbcc

213834700 has 54 divisors (see below), whose sum is σ = 476951244. Its totient is φ = 83170080.

The previous prime is 213834697. The next prime is 213834713. The reversal of 213834700 is 7438312.

213834700 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

213834700 is strictly pandigital in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 958789 + ... + 959011.

Almost surely, 2213834700 is an apocalyptic number.

213834700 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 213834700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238475622).

213834700 is an abundant number, since it is smaller than the sum of its proper divisors (263116544).

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

213834700 is a wasteful number, since it uses less digits than its factorization.

213834700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 213834700 is about 14623.0879091935. The cubic root of 213834700 is about 597.9883556082.

The spelling of 213834700 in words is "two hundred thirteen million, eight hundred thirty-four thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 223 430 446 860 892 1075 1115 2150 2230 4300 4460 5575 9589 11150 19178 22300 38356 47945 49729 95890 99458 191780 198916 239725 248645 479450 497290 958900 994580 1243225 2138347 2486450 4276694 4972900 8553388 10691735 21383470 42766940 53458675 106917350 213834700