Search a number
-
+
213274620 = 223451321941
BaseRepresentation
bin11001011011001…
…00111111111100
3112212022110210000
430231210333330
5414044241440
633055114300
75166542616
oct1455447774
9485273700
10213274620
11aa42a419
125b512990
1335254500
1420479db6
1513acc730
hexcb64ffc

213274620 has 360 divisors, whose sum is σ = 781205040. Its totient is φ = 48522240.

The previous prime is 213274603. The next prime is 213274627. The reversal of 213274620 is 26472312.

213274620 is a `hidden beast` number, since 2 + 1 + 32 + 7 + 4 + 620 = 666.

213274620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2132746202 = 90972127072288800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213274627) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5201800 + ... + 5201840.

It is an arithmetic number, because the mean of its divisors is an integer number (2170014).

Almost surely, 2213274620 is an apocalyptic number.

213274620 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 213274620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390602520).

213274620 is an abundant number, since it is smaller than the sum of its proper divisors (567930420).

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

213274620 is a wasteful number, since it uses less digits than its factorization.

213274620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 213274620 is about 14603.9248149256. The cubic root of 213274620 is about 597.4658115508.

The spelling of 213274620 in words is "two hundred thirteen million, two hundred seventy-four thousand, six hundred twenty".