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212211324 = 223213599757
BaseRepresentation
bin11001010011000…
…01011001111100
3112210022110012200
430221201121330
5413311230244
633020231500
75154523623
oct1451413174
9483273180
10212211324
11a9873566
125b09b590
1334c71540
14202806ba
151396c669
hexca6167c

212211324 has 72 divisors (see below), whose sum is σ = 579415200. Its totient is φ = 65100672.

The previous prime is 212211277. The next prime is 212211331. The reversal of 212211324 is 423112212.

It is a happy number.

212211324 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 (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 212211297 and 212211306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279954 + ... + 280710.

Almost surely, 2212211324 is an apocalyptic number.

212211324 is the 7787-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212211324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289707600).

212211324 is an abundant number, since it is smaller than the sum of its proper divisors (367203876).

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

212211324 is a wasteful number, since it uses less digits than its factorization.

212211324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1374 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 212211324 is about 14567.4748669768. The cubic root of 212211324 is about 596.4712539373.

Adding to 212211324 its reverse (423112212), we get a palindrome (635323536).

The spelling of 212211324 in words is "two hundred twelve million, two hundred eleven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 599 757 1198 1514 1797 2271 2396 3028 3594 4542 5391 6813 7188 7787 9084 9841 10782 13626 15574 19682 21564 23361 27252 29523 31148 39364 46722 59046 70083 88569 93444 118092 140166 177138 280332 354276 453443 906886 1360329 1813772 2720658 4080987 5441316 5894759 8161974 11789518 16323948 17684277 23579036 35368554 53052831 70737108 106105662 212211324