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212334144 = 26311100537
BaseRepresentation
bin11001010011111…
…11011001000000
3112210112200200120
430221333121000
5413324143034
633023020240
75155544661
oct1451773100
9483480616
10212334144
11a9947870
125b13a680
1334cb5409
14202b3368
1513993c49
hexca7f640

212334144 has 56 divisors (see below), whose sum is σ = 612879648. Its totient is φ = 64343040.

The previous prime is 212334103. The next prime is 212334149. The reversal of 212334144 is 441433212.

212334144 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (212334149) 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, 48157 + ... + 52380.

Almost surely, 2212334144 is an apocalyptic number.

212334144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212334144 is an abundant number, since it is smaller than the sum of its proper divisors (400545504).

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

212334144 is a wasteful number, since it uses less digits than its factorization.

212334144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100563 (or 100553 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 212334144 is about 14571.6898127842. The cubic root of 212334144 is about 596.5863035169.

Adding to 212334144 its reverse (441433212), we get a palindrome (653767356).

The spelling of 212334144 in words is "two hundred twelve million, three hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 100537 201074 301611 402148 603222 804296 1105907 1206444 1608592 2211814 2412888 3217184 3317721 4423628 4825776 6434368 6635442 8847256 9651552 13270884 17694512 19303104 26541768 35389024 53083536 70778048 106167072 212334144