Search a number
-
+
213041088 = 263213231237
BaseRepresentation
bin11001011001010…
…11111111000000
3112211212121102200
430230223333000
5414014303323
633050113200
75164551021
oct1454537700
9484777380
10213041088
11aa28aa17
125b41b800
13351a2120
1420418c48
1513a83443
hexcb2bfc0

213041088 has 168 divisors, whose sum is σ = 686763168. Its totient is φ = 62650368.

The previous prime is 213041077. The next prime is 213041099. The reversal of 213041088 is 880140312.

It is an interprime number because it is at equal distance from previous prime (213041077) and next prime (213041099).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 171606 + ... + 172842.

It is an arithmetic number, because the mean of its divisors is an integer number (4087876).

Almost surely, 2213041088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213041088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343381584).

213041088 is an abundant number, since it is smaller than the sum of its proper divisors (473722080).

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

213041088 is a wasteful number, since it uses less digits than its factorization.

213041088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 213041088 is about 14595.9271031339. The cubic root of 213041088 is about 597.2476603496.

The spelling of 213041088 in words is "two hundred thirteen million, forty-one thousand, eighty-eight".