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228033128928 = 25311215940463
BaseRepresentation
bin1101010001011111010…
…1010110100111100000
3210210121000120011222210
43110113311112213200
512214002440111203
6252431301202120
722321605420603
oct3242765264740
9723530504883
10228033128928
1188787835950
123823ba00340
1318671069127
14b07321633a
155de9581803
hex3517d569e0

228033128928 has 48 divisors (see below), whose sum is σ = 653003963136. Its totient is φ = 69100947840.

The previous prime is 228033128923. The next prime is 228033128959. The reversal of 228033128928 is 829821330822.

228033128928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228033128923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107969176 + ... + 107971287.

It is an arithmetic number, because the mean of its divisors is an integer number (13604249232).

Almost surely, 2228033128928 is an apocalyptic number.

It is an amenable number.

228033128928 is an abundant number, since it is smaller than the sum of its proper divisors (424970834208).

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

228033128928 is a wasteful number, since it uses less digits than its factorization.

228033128928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215940487 (or 215940479 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 228033128928 in words is "two hundred twenty-eight billion, thirty-three million, one hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 215940463 431880926 647821389 863761852 1295642778 1727523704 2375345093 2591285556 3455047408 4750690186 5182571112 6910094816 7126035279 9501380372 10365142224 14252070558 19002760744 20730284448 28504141116 38005521488 57008282232 76011042976 114016564464 228033128928