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212348880 = 243252312823
BaseRepresentation
bin11001010100000…
…10111111010000
3112210120102220100
430222002333100
5413330131010
633023212400
75155635642
oct1452027720
9483512810
10212348880
11a9957947
125b147100
1334cbc033
14202b8892
15139982c0
hexca82fd0

212348880 has 120 divisors (see below), whose sum is σ = 744202368. Its totient is φ = 54160128.

The previous prime is 212348879. The next prime is 212348893. The reversal of 212348880 is 88843212.

It is a happy number.

212348880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10149 + ... + 22971.

Almost surely, 2212348880 is an apocalyptic number.

212348880 is a gapful number since it is divisible by the number (20) 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 212348880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372101184).

212348880 is an abundant number, since it is smaller than the sum of its proper divisors (531853488).

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

212348880 is a wasteful number, since it uses less digits than its factorization.

212348880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12865 (or 12856 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 212348880 is about 14572.1954420053. The cubic root of 212348880 is about 596.6001042372.

The spelling of 212348880 in words is "two hundred twelve million, three hundred forty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 8280 12823 16560 25646 38469 51292 64115 76938 102584 115407 128230 153876 192345 205168 230814 256460 294929 307752 384690 461628 512920 577035 589858 615504 769380 884787 923256 1025840 1154070 1179716 1474645 1538760 1769574 1846512 2308140 2359432 2654361 2949290 3077520 3539148 4423935 4616280 4718864 5308722 5898580 7078296 8847870 9232560 10617444 11797160 13271805 14156592 17695740 21234888 23594320 26543610 35391480 42469776 53087220 70782960 106174440 212348880