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230990144 = 26711192467
BaseRepresentation
bin11011100010010…
…10000101000000
3121002122111220112
431301022011000
5433113141034
634530530452
75503245440
oct1561120500
9532574815
10230990144
1110942a350
1265436a28
1338b17b78
142296c120
151542b7ce
hexdc4a140

230990144 has 112 divisors (see below), whose sum is σ = 601797120. Its totient is φ = 85224960.

The previous prime is 230990141. The next prime is 230990147. The reversal of 230990144 is 441099032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230990141) and next prime (230990147).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 230990144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230990141) 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, 92399 + ... + 94865.

Almost surely, 2230990144 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 230990144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300898560).

230990144 is an abundant number, since it is smaller than the sum of its proper divisors (370806976).

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

230990144 is a wasteful number, since it uses less digits than its factorization.

230990144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 230990144 is about 15198.3599115168. The cubic root of 230990144 is about 613.5705173817.

The spelling of 230990144 in words is "two hundred thirty million, nine hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 64 76 77 88 112 133 152 154 176 209 224 266 304 308 352 418 448 532 608 616 704 836 1064 1216 1232 1463 1672 2128 2464 2467 2926 3344 4256 4928 4934 5852 6688 8512 9868 11704 13376 17269 19736 23408 27137 34538 39472 46816 46873 54274 69076 78944 93632 93746 108548 138152 157888 187492 189959 217096 276304 328111 374984 379918 434192 515603 552608 656222 749968 759836 868384 1031206 1105216 1312444 1499936 1519672 1736768 2062412 2624888 2999872 3039344 3609221 4124824 5249776 6078688 7218442 8249648 10499552 12157376 14436884 16499296 20999104 28873768 32998592 57747536 115495072 230990144