Search a number
-
+
212926364 = 227223149317
BaseRepresentation
bin11001011000011…
…11111110011100
3112211122210001122
430230033332130
5414002120424
633043430112
75163562400
oct1454177634
9484583048
10212926364
11aa211802
125b385338
1335161b41
14203c9100
1513a5e45e
hexcb0ff9c

212926364 has 72 divisors (see below), whose sum is σ = 456775200. Its totient is φ = 86427264.

The previous prime is 212926361. The next prime is 212926367. The reversal of 212926364 is 463629212.

It is an interprime number because it is at equal distance from previous prime (212926361) and next prime (212926367).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212926361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 671534 + ... + 671850.

It is an arithmetic number, because the mean of its divisors is an integer number (6344100).

Almost surely, 2212926364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212926364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228387600).

212926364 is an abundant number, since it is smaller than the sum of its proper divisors (243848836).

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

212926364 is a wasteful number, since it uses less digits than its factorization.

212926364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 498 counting only the distinct ones).

The product of its digits is 31104, while the sum is 35.

The square root of 212926364 is about 14591.9965734645. The cubic root of 212926364 is about 597.1404338608.

The spelling of 212926364 in words is "two hundred twelve million, nine hundred twenty-six thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 149 161 196 298 317 322 596 634 644 1043 1127 1268 2086 2219 2254 3427 4172 4438 4508 6854 7291 7301 8876 13708 14582 14602 15533 23989 29164 29204 31066 47233 47978 51037 62132 94466 95956 102074 167923 188932 204148 330631 335846 357259 661262 671692 714518 1086359 1322524 1429036 2172718 2314417 4345436 4628834 7604513 9257668 15209026 30418052 53231591 106463182 212926364