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212801240 = 23517312943
BaseRepresentation
bin11001010111100…
…01011011011000
3112211102102102102
430223301123120
5413434114430
633041022532
75162531531
oct1453613330
9484372372
10212801240
11aa1367a3
125b324a48
1335119bc2
1420395688
1513a37345
hexcaf16d8

212801240 has 32 divisors (see below), whose sum is σ = 506969280. Its totient is φ = 80113152.

The previous prime is 212801233. The next prime is 212801249. The reversal of 212801240 is 42108212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212801249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155792 + ... + 157151.

It is an arithmetic number, because the mean of its divisors is an integer number (15842790).

Almost surely, 2212801240 is an apocalyptic number.

212801240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212801240 is an abundant number, since it is smaller than the sum of its proper divisors (294168040).

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

212801240 is a wasteful number, since it uses less digits than its factorization.

212801240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312971 (or 312967 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 212801240 is about 14587.7085246450. The cubic root of 212801240 is about 597.0234431189.

Adding to 212801240 its reverse (42108212), we get a palindrome (254909452).

The spelling of 212801240 in words is "two hundred twelve million, eight hundred one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 312943 625886 1251772 1564715 2503544 3129430 5320031 6258860 10640062 12517720 21280124 26600155 42560248 53200310 106400620 212801240