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213204222 = 232711199773
BaseRepresentation
bin11001011010100…
…11110011111110
3112212011220012200
430231103303332
5414040013342
633053412330
75166130440
oct1455236376
9485156180
10213204222
11aa391540
125b49a0a6
133522b45a
142045c490
1513ab694c
hexcb53cfe

213204222 has 96 divisors (see below), whose sum is σ = 579571200. Its totient is φ = 55028160.

The previous prime is 213204221. The next prime is 213204247. The reversal of 213204222 is 222402312.

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

It is a junction number, because it is equal to n+sod(n) for n = 213204195 and 213204204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213204221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275428 + ... + 276200.

It is an arithmetic number, because the mean of its divisors is an integer number (6037200).

Almost surely, 2213204222 is an apocalyptic number.

213204222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 213204222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289785600).

213204222 is an abundant number, since it is smaller than the sum of its proper divisors (366366978).

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

213204222 is a wasteful number, since it uses less digits than its factorization.

213204222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 213204222 is about 14601.5143735162. The cubic root of 213204222 is about 597.4000668522.

Adding to 213204222 its reverse (222402312), we get a palindrome (435606534).

The spelling of 213204222 in words is "two hundred thirteen million, two hundred four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 199 231 398 462 597 693 773 1194 1386 1393 1546 1791 2189 2319 2786 3582 4179 4378 4638 5411 6567 6957 8358 8503 10822 12537 13134 13914 15323 16233 17006 19701 25074 25509 30646 32466 39402 45969 48699 51018 59521 76527 91938 97398 119042 137907 153054 153827 178563 275814 307654 357126 461481 535689 922962 1071378 1076789 1384443 1692097 2153578 2768886 3230367 3384194 5076291 6460734 9691101 10152582 11844679 15228873 19382202 23689358 30457746 35534037 71068074 106602111 213204222