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212742896 = 24173721139
BaseRepresentation
bin11001010111000…
…11001011110000
3112211022110101112
430223203023300
5413430233041
633035452452
75162166452
oct1453431360
9484273345
10212742896
11aa0a6983
125b2b7128
13350c9492
142037c2d2
1513a24deb
hexcae32f0

212742896 has 40 divisors (see below), whose sum is σ = 448252560. Its totient is φ = 97403904.

The previous prime is 212742853. The next prime is 212742899. The reversal of 212742896 is 698247212.

212742896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212742899) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 506 + ... + 20633.

It is an arithmetic number, because the mean of its divisors is an integer number (11206314).

Almost surely, 2212742896 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 212742896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224126280).

212742896 is an abundant number, since it is smaller than the sum of its proper divisors (235509664).

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

212742896 is a wasteful number, since it uses less digits than its factorization.

212742896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21201 (or 21195 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The square root of 212742896 is about 14585.7086217983. The cubic root of 212742896 is about 596.9688758936.

The spelling of 212742896 in words is "two hundred twelve million, seven hundred forty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 296 592 629 1258 2516 5032 10064 21139 42278 84556 169112 338224 359363 718726 782143 1437452 1564286 2874904 3128572 5749808 6257144 12514288 13296431 26592862 53185724 106371448 212742896