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224078210161 = 13428012
BaseRepresentation
bin1101000010110000011…
…0100010010001110001
3210102101101200111100221
43100230012202101301
512132403010211121
6250535021413041
722121603234311
oct3205406422161
9712341614327
10224078210161
1187038342943
123751740a181
13181908a0000
14abb9c79441
155c67263b41
hex342c1a2471

224078210161 has 15 divisors (see below), whose sum is σ = 242837437223. Its totient is φ = 206767579200.

The previous prime is 224078210149. The next prime is 224078210189. The reversal of 224078210161 is 161012870422.

The square root of 224078210161 is 473369.

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

It can be written as a sum of positive squares in 7 ways, for example, as 224030875761 + 47334400 = 473319^2 + 6880^2 .

It is not a de Polignac number, because 224078210161 - 219 = 224077685873 is a prime.

It is a super-2 number, since 2×2240782101612 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (224078210131) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 79997961 + ... + 80000761.

Almost surely, 2224078210161 is an apocalyptic number.

224078210161 is the 473369-th square number.

224078210161 is the 236685-th centered octagonal number.

It is an amenable number.

224078210161 is a deficient number, since it is larger than the sum of its proper divisors (18759227062).

224078210161 is an frugal number, since it uses more digits than its factorization.

224078210161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5654 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 224078210161 in words is "two hundred twenty-four billion, seventy-eight million, two hundred ten thousand, one hundred sixty-one".

Divisors: 1 13 169 2197 2801 28561 36413 473369 6153797 7845601 79999361 101992813 1325906569 17236785397 224078210161