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212133240 = 233251153569
BaseRepresentation
bin11001010010011…
…10010101111000
3112210011111002200
430221032111320
5413301230430
633014430200
75154050154
oct1451162570
9483144080
10212133240
11a981a930
125b062360
1334c44b37
1420260064
1513954460
hexca4e578

212133240 has 96 divisors (see below), whose sum is σ = 752122800. Its totient is φ = 51425280.

The previous prime is 212133239. The next prime is 212133241. The reversal of 212133240 is 42331212.

212133240 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 (212133239) and next prime (212133241).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212133241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22825 + ... + 30744.

Almost surely, 2212133240 is an apocalyptic number.

212133240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212133240 is an abundant number, since it is smaller than the sum of its proper divisors (539989560).

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

212133240 is a wasteful number, since it uses less digits than its factorization.

212133240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53597 (or 53590 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 212133240 is about 14564.7945402604. The cubic root of 212133240 is about 596.3980869732.

Adding to 212133240 its reverse (42331212), we get a palindrome (254464452).

The spelling of 212133240 in words is "two hundred twelve million, one hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 53569 107138 160707 214276 267845 321414 428552 482121 535690 589259 642828 803535 964242 1071380 1178518 1285656 1607070 1767777 1928484 2142760 2357036 2410605 2946295 3214140 3535554 3856968 4714072 4821210 5303331 5892590 6428280 7071108 8838885 9642420 10606662 11785180 14142216 17677770 19284840 21213324 23570360 26516655 35355540 42426648 53033310 70711080 106066620 212133240