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230252544 = 21334347
BaseRepresentation
bin11011011100101…
…10000000000000
3121001021001010000
431232112000000
5432421040134
634503040000
75464054134
oct1556260000
9531231100
10230252544
11108a76165
1265140000
133891a212
14228193c4
1515332e99
hexdb96000

230252544 has 140 divisors (see below), whose sum is σ = 689855364. Its totient is φ = 76529664.

The previous prime is 230252509. The next prime is 230252549. The reversal of 230252544 is 445252032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230252549) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 663379 + ... + 663725.

Almost surely, 2230252544 is an apocalyptic number.

230252544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230252544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344927682).

230252544 is an abundant number, since it is smaller than the sum of its proper divisors (459602820).

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

230252544 is an frugal number, since it uses more digits than its factorization.

230252544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 230252544 is about 15174.0747329121. The cubic root of 230252544 is about 612.9167345280.

The spelling of 230252544 in words is "two hundred thirty million, two hundred fifty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 347 384 432 512 576 648 694 768 864 1024 1041 1152 1296 1388 1536 1728 2048 2082 2304 2592 2776 3072 3123 3456 4096 4164 4608 5184 5552 6144 6246 6912 8192 8328 9216 9369 10368 11104 12288 12492 13824 16656 18432 18738 20736 22208 24576 24984 27648 28107 33312 36864 37476 41472 44416 49968 55296 56214 66624 73728 74952 82944 88832 99936 110592 112428 133248 149904 165888 177664 199872 221184 224856 266496 299808 331776 355328 399744 449712 532992 599616 663552 710656 799488 899424 1065984 1199232 1421312 1598976 1798848 2131968 2398464 2842624 3197952 3597696 4263936 4796928 6395904 7195392 8527872 9593856 12791808 14390784 19187712 25583616 28781568 38375424 57563136 76750848 115126272 230252544