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2254695552 = 273213992
BaseRepresentation
bin1000011001100011…
…1110110010000000
312211010121101211200
42012120332302000
514104200224202
61011421541200
7106605411264
oct20630766200
95733541750
102254695552
11a5779815a
1252b114800
1329c1720a5
141756380a4
15d2e22e1c
hex8663ec80

2254695552 has 72 divisors (see below), whose sum is σ = 6492762315. Its totient is φ = 751027968.

The previous prime is 2254695523. The next prime is 2254695559. The reversal of 2254695552 is 2555964522.

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.

2254695552 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 6 + 95 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1127347776 + 1127347776 = 33576^2 + 33576^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33576.

It is a junction number, because it is equal to n+sod(n) for n = 2254695498 and 2254695507.

It is not an unprimeable number, because it can be changed into a prime (2254695559) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1610949 + ... + 1612347.

Almost surely, 22254695552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2254695552

2254695552 is an abundant number, since it is smaller than the sum of its proper divisors (4238066763).

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

2254695552 is an frugal number, since it uses more digits than its factorization.

2254695552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 1404 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 45.

The square root of 2254695552 is about 47483.6345702390. The cubic root of 2254695552 is about 1311.2816065128.

The spelling of 2254695552 in words is "two billion, two hundred fifty-four million, six hundred ninety-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1399 2798 4197 5596 8394 11192 12591 16788 22384 25182 33576 44768 50364 67152 89536 100728 134304 179072 201456 268608 402912 537216 805824 1611648 1957201 3914402 5871603 7828804 11743206 15657608 17614809 23486412 31315216 35229618 46972824 62630432 70459236 93945648 125260864 140918472 187891296 250521728 281836944 375782592 563673888 751565184 1127347776 2254695552