Search a number
-
+
212649030 = 233511223283
BaseRepresentation
bin11001010110011…
…00010001000110
3112211010200122000
430223030101012
5413414232110
633033450130
75161326006
oct1453142106
9484120560
10212649030
11aa042400
125b270946
1335095839
1420356006
1513a071c0
hexcacc446

212649030 has 192 divisors, whose sum is σ = 652700160. Its totient is φ = 49135680.

The previous prime is 212649023. The next prime is 212649043. The reversal of 212649030 is 30946212.

212649030 is a `hidden beast` number, since 2 + 12 + 649 + 0 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 212648985 and 212649003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 751269 + ... + 751551.

It is an arithmetic number, because the mean of its divisors is an integer number (3399480).

Almost surely, 2212649030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212649030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326350080).

212649030 is an abundant number, since it is smaller than the sum of its proper divisors (440051130).

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

212649030 is a wasteful number, since it uses less digits than its factorization.

212649030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 212649030 is about 14582.4905280271. The cubic root of 212649030 is about 596.8810651687.

The spelling of 212649030 in words is "two hundred twelve million, six hundred forty-nine thousand, thirty".