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225622848 = 26311317337
BaseRepresentation
bin11010111001010…
…11101101000000
3120201112211100210
431130223231000
5430224412343
634215514120
75406522363
oct1534535500
9521484323
10225622848
111063a3870
1263688940
1337988b59
1421d720da
1514c1b333
hexd72bb40

225622848 has 112 divisors (see below), whose sum is σ = 655222464. Its totient is φ = 67952640.

The previous prime is 225622843. The next prime is 225622879. The reversal of 225622848 is 848226522.

225622848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2256228482 = 101811339079262208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225622843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669336 + ... + 669672.

Almost surely, 2225622848 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 225622848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327611232).

225622848 is an abundant number, since it is smaller than the sum of its proper divisors (429599616).

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

225622848 is a wasteful number, since it uses less digits than its factorization.

225622848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 670 counting only the distinct ones).

The product of its digits is 122880, while the sum is 39.

The square root of 225622848 is about 15020.7472517182. The cubic root of 225622848 is about 608.7809102416.

The spelling of 225622848 in words is "two hundred twenty-five million, six hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 317 337 352 528 634 674 704 951 1011 1056 1268 1348 1902 2022 2112 2536 2696 3487 3707 3804 4044 5072 5392 6974 7414 7608 8088 10144 10461 10784 11121 13948 14828 15216 16176 20288 20922 21568 22242 27896 29656 30432 32352 41844 44484 55792 59312 60864 64704 83688 88968 106829 111584 118624 167376 177936 213658 223168 237248 320487 334752 355872 427316 640974 669504 711744 854632 1175119 1281948 1709264 2350238 2563896 3418528 3525357 4700476 5127792 6837056 7050714 9400952 10255584 14101428 18801904 20511168 28202856 37603808 56405712 75207616 112811424 225622848