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213222152 = 231113296427
BaseRepresentation
bin11001011010110…
…00001100001000
3112212012210210202
430231120030020
5414041102102
633054031332
75166233633
oct1455301410
9485183722
10213222152
11aa3a3a60
125b4a8548
1335236670
1420464c1a
1513abbe02
hexcb58308

213222152 has 64 divisors (see below), whose sum is σ = 485956800. Its totient is φ = 86365440.

The previous prime is 213222137. The next prime is 213222169. The reversal of 213222152 is 251222312.

It is a super-2 number, since 2×2132221522 = 90927372207022208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29963 + ... + 36389.

It is an arithmetic number, because the mean of its divisors is an integer number (7593075).

Almost surely, 2213222152 is an apocalyptic number.

213222152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213222152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242978400).

213222152 is an abundant number, since it is smaller than the sum of its proper divisors (272734648).

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

213222152 is a wasteful number, since it uses less digits than its factorization.

213222152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6486 (or 6482 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 213222152 is about 14602.1283380198. The cubic root of 213222152 is about 597.4168130543.

Adding to 213222152 its reverse (251222312), we get a palindrome (464444464).

The spelling of 213222152 in words is "two hundred thirteen million, two hundred twenty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 13 22 26 29 44 52 58 88 104 116 143 232 286 319 377 572 638 754 1144 1276 1508 2552 3016 4147 6427 8294 12854 16588 25708 33176 51416 70697 83551 141394 167102 186383 282788 334204 372766 565576 668408 745532 919061 1491064 1838122 2050213 2422979 3676244 4100426 4845958 7352488 8200852 9691916 16401704 19383832 26652769 53305538 106611076 213222152