Search a number
-
+
212898000 = 24353737137
BaseRepresentation
bin11001011000010…
…01000011010000
3112211121100011010
430230021003100
5414000214000
633043050520
75163413610
oct1454110320
9484540133
10212898000
11aa1a2467
125b370a40
1335151c63
14203bca40
1513a55d50
hexcb090d0

212898000 has 320 divisors, whose sum is σ = 811519488. Its totient is φ = 47001600.

The previous prime is 212897981. The next prime is 212898017. The reversal of 212898000 is 898212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1553932 + ... + 1554068.

Almost surely, 2212898000 is an apocalyptic number.

212898000 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 212898000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405759744).

212898000 is an abundant number, since it is smaller than the sum of its proper divisors (598621488).

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

212898000 is a wasteful number, since it uses less digits than its factorization.

212898000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 212898000 is about 14591.0246384550. The cubic root of 212898000 is about 597.1139175838.

It can be divided in two parts, 2128 and 98000, that added together give a triangular number (100128 = T447).

The spelling of 212898000 in words is "two hundred twelve million, eight hundred ninety-eight thousand".