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212204340 = 223351572503
BaseRepresentation
bin11001010010111…
…11101100110100
3112210022002122000
430221133230310
5413311014330
633020135300
75154464355
oct1451375464
9483262560
10212204340
11a9869297
125b097530
1334c6b2ca
142027bd2c
151396a560
hexca5fb34

212204340 has 96 divisors (see below), whose sum is σ = 664661760. Its totient is φ = 56204928.

The previous prime is 212204329. The next prime is 212204383. The reversal of 212204340 is 43402212.

212204340 is a `hidden beast` number, since 212 + 20 + 434 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83529 + ... + 86031.

It is an arithmetic number, because the mean of its divisors is an integer number (6923560).

Almost surely, 2212204340 is an apocalyptic number.

212204340 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 212204340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332330880).

212204340 is an abundant number, since it is smaller than the sum of its proper divisors (452457420).

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

212204340 is a wasteful number, since it uses less digits than its factorization.

212204340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 2670 counting only the distinct ones).

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

The square root of 212204340 is about 14567.2351529039. The cubic root of 212204340 is about 596.4647104585.

Adding to 212204340 its reverse (43402212), we get a palindrome (255606552).

The spelling of 212204340 in words is "two hundred twelve million, two hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 157 180 270 314 471 540 628 785 942 1413 1570 1884 2355 2503 2826 3140 4239 4710 5006 5652 7065 7509 8478 9420 10012 12515 14130 15018 16956 21195 22527 25030 28260 30036 37545 42390 45054 50060 67581 75090 84780 90108 112635 135162 150180 225270 270324 337905 392971 450540 675810 785942 1178913 1351620 1571884 1964855 2357826 3536739 3929710 4715652 5894565 7073478 7859420 10610217 11789130 14146956 17683695 21220434 23578260 35367390 42440868 53051085 70734780 106102170 212204340