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242228844 = 22321113211223
BaseRepresentation
bin11100111000000…
…01111001101100
3121212210111111200
432130001321230
5444002310334
640011445500
76000624354
oct1634017154
9555714450
10242228844
11114806130
1269156890
133b2514a0
1424255b64
15163eb799
hexe701e6c

242228844 has 144 divisors (see below), whose sum is σ = 725996544. Its totient is φ = 67132800.

The previous prime is 242228839. The next prime is 242228849. The reversal of 242228844 is 448822242.

It is a happy number.

242228844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242228839) and next prime (242228849).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 242228799 and 242228808.

It is not an unprimeable number, because it can be changed into a prime (242228849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1086117 + ... + 1086339.

Almost surely, 2242228844 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 242228844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362998272).

242228844 is an abundant number, since it is smaller than the sum of its proper divisors (483767700).

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

242228844 is a wasteful number, since it uses less digits than its factorization.

242228844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 463 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The square root of 242228844 is about 15563.7027727980. The cubic root of 242228844 is about 623.3643366495.

The spelling of 242228844 in words is "two hundred forty-two million, two hundred twenty-eight thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 211 223 234 286 396 422 429 446 468 572 633 669 844 858 892 1266 1287 1338 1716 1899 2007 2321 2453 2532 2574 2676 2743 2899 3798 4014 4642 4906 5148 5486 5798 6963 7359 7596 8028 8229 8697 9284 9812 10972 11596 13926 14718 16458 17394 20889 22077 24687 26091 27852 29436 30173 31889 32916 34788 41778 44154 47053 49374 52182 60346 63778 83556 88308 90519 94106 95667 98748 104364 120692 127556 141159 181038 188212 191334 271557 282318 287001 362076 382668 423477 517583 543114 564636 574002 611689 846954 1035166 1086228 1148004 1223378 1552749 1693908 1835067 2070332 2446756 3105498 3670134 4658247 5505201 6210996 6728579 7340268 9316494 11010402 13457158 18632988 20185737 22020804 26914316 40371474 60557211 80742948 121114422 242228844