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213474690 = 234511131997
BaseRepresentation
bin11001011100101…
…01110110000010
3112212200122020000
430232111312002
5414122142230
633103300430
75201335122
oct1456256602
9485618200
10213474690
11aa556770
125b5aa716
13352c45b0
14204ccc82
1513b1bb60
hexcb95d82

213474690 has 320 divisors, whose sum is σ = 717171840. Its totient is φ = 44789760.

The previous prime is 213474689. The next prime is 213474691. The reversal of 213474690 is 96474312.

213474690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213474689) and next prime (213474691).

It is a super-2 number, since 2×2134746902 = 91142886541192200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213474691) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2200722 + ... + 2200818.

It is an arithmetic number, because the mean of its divisors is an integer number (2241162).

Almost surely, 2213474690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213474690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358585920).

213474690 is an abundant number, since it is smaller than the sum of its proper divisors (503697150).

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

213474690 is a wasteful number, since it uses less digits than its factorization.

213474690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 213474690 is about 14610.7730801625. The cubic root of 213474690 is about 597.6525779936.

The spelling of 213474690 in words is "two hundred thirteen million, four hundred seventy-four thousand, six hundred ninety".