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223946442752 = 211104572
BaseRepresentation
bin1101000010010000111…
…1111000100000000000
3210102001012202000110112
43100210033320200000
512132120242132002
6250513553250452
722115413232624
oct3204417704000
9712035660415
10223946442752
1186a7aa2405a
123749b263a28
131816c4b5c26
14aba6579184
155c5a8d6852
hex34243f8800

223946442752 has 36 divisors (see below), whose sum is σ = 447826362165. Its totient is φ = 111962513408.

The previous prime is 223946442743. The next prime is 223946442761. The reversal of 223946442752 is 257244649322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (223946442743) and next prime (223946442761).

It can be written as a sum of positive squares in 2 ways, for example, as 177800528896 + 46145913856 = 421664^2 + 214816^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=334624.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 223946442752.

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 2 ways as a sum of consecutive naturals, for example, 21410708 + ... + 21421164.

Almost surely, 2223946442752 is an apocalyptic number.

It is an amenable number.

223946442752 is a deficient number, since it is larger than the sum of its proper divisors (223879919413).

223946442752 is an frugal number, since it uses more digits than its factorization.

223946442752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20936 (or 10459 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 50.

Multiplying 223946442752 by its sum of digits (50), we get a square (11197322137600 = 33462402).

The spelling of 223946442752 in words is "two hundred twenty-three billion, nine hundred forty-six million, four hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 10457 20914 41828 83656 167312 334624 669248 1338496 2676992 5353984 10707968 21415936 109348849 218697698 437395396 874790792 1749581584 3499163168 6998326336 13996652672 27993305344 55986610688 111973221376 223946442752