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1228353696 = 253229147073
BaseRepresentation
bin100100100110111…
…0011000010100000
310011121100211111100
41021031303002200
510003424304241
6321515514400
742303556053
oct11115630240
93147324440
101228353696
11580412349
122a3458a00
1316764100b
14b91d0a9a
1572c8b9b6
hex493730a0

1228353696 has 72 divisors (see below), whose sum is σ = 3613608180. Its totient is φ = 395329536.

The previous prime is 1228353689. The next prime is 1228353701. The reversal of 1228353696 is 6963538221.

1228353696 is a `hidden beast` number, since 1 + 2 + 28 + 3 + 536 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1172103696 + 56250000 = 34236^2 + 7500^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65185 + ... + 81888.

Almost surely, 21228353696 is an apocalyptic number.

1228353696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1228353696 is an abundant number, since it is smaller than the sum of its proper divisors (2385254484).

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

1228353696 is a wasteful number, since it uses less digits than its factorization.

1228353696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147118 (or 147107 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 1228353696 is about 35047.8771967718. The cubic root of 1228353696 is about 1070.9630296878.

The spelling of 1228353696 in words is "one billion, two hundred twenty-eight million, three hundred fifty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 147073 294146 441219 588292 882438 1176584 1323657 1764876 2353168 2647314 3529752 4265117 4706336 5294628 7059504 8530234 10589256 12795351 14119008 17060468 21178512 25590702 34120936 38386053 42357024 51181404 68241872 76772106 102362808 136483744 153544212 204725616 307088424 409451232 614176848 1228353696