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213212220 = 223513273349
BaseRepresentation
bin11001011010101…
…01110000111100
3112212012022011220
430231111300330
5414040242340
633053513340
75166162654
oct1455256074
9485168156
10213212220
11aa397551
125b4a2850
1335231ca0
1420461364
1513ab8ed0
hexcb55c3c

213212220 has 48 divisors (see below), whose sum is σ = 642919200. Its totient is φ = 52482816.

The previous prime is 213212179. The next prime is 213212261. The reversal of 213212220 is 22212312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213212179) and next prime (213212261).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213212220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135895 + ... + 137454.

It is an arithmetic number, because the mean of its divisors is an integer number (13394150).

Almost surely, 2213212220 is an apocalyptic number.

213212220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213212220 is an abundant number, since it is smaller than the sum of its proper divisors (429706980).

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

213212220 is a wasteful number, since it uses less digits than its factorization.

213212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273374 (or 273372 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 213212220 is about 14601.7882466498. The cubic root of 213212220 is about 597.4075369138.

Adding to 213212220 its reverse (22212312), we get a palindrome (235424532).

The spelling of 213212220 in words is "two hundred thirteen million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 273349 546698 820047 1093396 1366745 1640094 2733490 3280188 3553537 4100235 5466980 7107074 8200470 10660611 14214148 16400940 17767685 21321222 35535370 42642444 53303055 71070740 106606110 213212220