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212069440 = 2651125477
BaseRepresentation
bin11001010001111…
…10110001000000
3112210001020120201
430220332301000
5413242210230
633013214544
75153363152
oct1450766100
9483036521
10212069440
11a9786a00
125b031454
1334c21a9b
1420244ad2
15139405ca
hexca3ec40

212069440 has 84 divisors (see below), whose sum is σ = 555173388. Its totient is φ = 77102080.

The previous prime is 212069371. The next prime is 212069443. The reversal of 212069440 is 44960212.

It can be written as a sum of positive squares in 2 ways, for example, as 167340096 + 44729344 = 12936^2 + 6688^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212069399 and 212069408.

It is not an unprimeable number, because it can be changed into a prime (212069443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35982 + ... + 41458.

It is an arithmetic number, because the mean of its divisors is an integer number (6609207).

Almost surely, 2212069440 is an apocalyptic number.

212069440 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 212069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277586694).

212069440 is an abundant number, since it is smaller than the sum of its proper divisors (343103948).

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

212069440 is a wasteful number, since it uses less digits than its factorization.

212069440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5516 (or 5495 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 212069440 is about 14562.6041627176. The cubic root of 212069440 is about 596.3382912002.

The spelling of 212069440 in words is "two hundred twelve million, sixty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 220 242 320 352 440 484 605 704 880 968 1210 1760 1936 2420 3520 3872 4840 5477 7744 9680 10954 19360 21908 27385 38720 43816 54770 60247 87632 109540 120494 175264 219080 240988 301235 350528 438160 481976 602470 662717 876320 963952 1204940 1325434 1752640 1927904 2409880 2650868 3313585 3855808 4819760 5301736 6627170 9639520 10603472 13254340 19279040 21206944 26508680 42413888 53017360 106034720 212069440