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228845970432 = 21032139178643
BaseRepresentation
bin1101010100100001001…
…0000110010000000000
3210212200200001210220200
43111020102012100000
512222134032023212
6253044055205200
722351005440112
oct3251022062000
9725620053820
10228845970432
1189064647792
1238428076800
1318770597031
14b10d1653b2
155e45ae36dc
hex3548486400

228845970432 has 132 divisors (see below), whose sum is σ = 665545367760. Its totient is φ = 75732774912.

The previous prime is 228845970401. The next prime is 228845970439. The reversal of 228845970432 is 234079548822.

228845970432 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 4 + 597 + 0 + 43 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (228845970439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1191703 + ... + 1370345.

Almost surely, 2228845970432 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 228845970432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332772683880).

228845970432 is an abundant number, since it is smaller than the sum of its proper divisors (436699397328).

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

228845970432 is a wasteful number, since it uses less digits than its factorization.

228845970432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178808 (or 178787 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 228845970432 in words is "two hundred twenty-eight billion, eight hundred forty-five million, nine hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 139 144 192 256 278 288 384 417 512 556 576 768 834 1024 1112 1152 1251 1536 1668 2224 2304 2502 3072 3336 4448 4608 5004 6672 8896 9216 10008 13344 17792 20016 26688 35584 40032 53376 71168 80064 106752 142336 160128 178643 213504 320256 357286 427008 535929 640512 714572 1071858 1281024 1429144 1607787 2143716 2858288 3215574 4287432 5716576 6431148 8574864 11433152 12862296 17149728 22866304 24831377 25724592 34299456 45732608 49662754 51449184 68598912 74494131 91465216 99325508 102898368 137197824 148988262 182930432 198651016 205796736 223482393 274395648 297976524 397302032 411593472 446964786 548791296 595953048 794604064 823186944 893929572 1191906096 1589208128 1646373888 1787859144 2383812192 3178416256 3575718288 4767624384 6356832512 7151436576 9535248768 12713665024 14302873152 19070497536 25427330048 28605746304 38140995072 57211492608 76281990144 114422985216 228845970432