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225483662448 = 243211369138567
BaseRepresentation
bin1101000111111111011…
…1111010010001110000
3210120000100021212110100
43101333313322101300
512143242304144243
6251330305232400
722201460335662
oct3217767722160
9716010255410
10225483662448
1187699715a60
123784a032700
1318355b0a395
14acb07aa532
155cea8340d3
hex347fdfa470

225483662448 has 120 divisors (see below), whose sum is σ = 688612818816. Its totient is φ = 68308099200.

The previous prime is 225483662441. The next prime is 225483662549. The reversal of 225483662448 is 844266384522.

225483662448 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 8 + 3 + 6 + 624 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 225483662394 and 225483662403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225483662441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5827261 + ... + 5865827.

Almost surely, 2225483662448 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 225483662448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344306409408).

225483662448 is an abundant number, since it is smaller than the sum of its proper divisors (463129156368).

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

225483662448 is a wasteful number, since it uses less digits than its factorization.

225483662448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42283 (or 42274 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 54.

The spelling of 225483662448 in words is "two hundred twenty-five billion, four hundred eighty-three million, six hundred sixty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 3691 7382 11073 14764 22146 29528 33219 38567 40601 44292 59056 66438 77134 81202 88584 115701 121803 132876 154268 162404 177168 231402 243606 265752 308536 324808 347103 365409 424237 462804 487212 531504 617072 649616 694206 730818 848474 925608 974424 1272711 1388412 1461636 1696948 1851216 1948848 2545422 2776824 2923272 3393896 3818133 5090844 5553648 5846544 6787792 7636266 10181688 15272532 20363376 30545064 61090128 142350797 284701594 427052391 569403188 854104782 1138806376 1281157173 1565858767 1708209564 2277612752 2562314346 3131717534 3416419128 4697576301 5124628692 6263435068 6832838256 9395152602 10249257384 12526870136 14092728903 18790305204 20498514768 25053740272 28185457806 37580610408 56370915612 75161220816 112741831224 225483662448