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70224400 = 24524192
BaseRepresentation
bin1000010111110…
…00101000010000
311220010202202201
410023320220100
5120434140100
610545052544
71511616601
oct413705020
9156122681
1070224400
11367046a4
121b627154
13117199cc
14947dda8
15627236a
hex42f8a10

70224400 has 45 divisors (see below), whose sum is σ = 169117741. Its totient is φ = 28022720.

The previous prime is 70224383. The next prime is 70224403. The reversal of 70224400 is 442207.

The square root of 70224400 is 8380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 25280784 + 44943616 = 5028^2 + 6704^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (70224403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 167391 + ... + 167809.

Almost surely, 270224400 is an apocalyptic number.

70224400 is the 8380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70224400

70224400 is an abundant number, since it is smaller than the sum of its proper divisors (98893341).

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

70224400 is an equidigital number, since it uses as much as digits as its factorization.

70224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The cubic root of 70224400 is about 412.5684490023.

Adding to 70224400 its reverse (442207), we get a palindrome (70666607).

The spelling of 70224400 in words is "seventy million, two hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 419 838 1676 2095 3352 4190 6704 8380 10475 16760 20950 33520 41900 83800 167600 175561 351122 702244 877805 1404488 1755610 2808976 3511220 4389025 7022440 8778050 14044880 17556100 35112200 70224400