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230250444512 = 25111937979067
BaseRepresentation
bin1101011001101111111…
…1101111011011100000
3211000022112211111011012
43112123333233123200
512233023103211022
6253435310040052
722430551325534
oct3263377573340
9730275744135
10230250444512
1189715411970
123875a4a9028
131893555109a
14b2038bdbc4
155ec906dde2
hex359bfef6e0

230250444512 has 96 divisors (see below), whose sum is σ = 520736791680. Its totient is φ = 99113863680.

The previous prime is 230250444499. The next prime is 230250444601. The reversal of 230250444512 is 215444052032.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25389803 + ... + 25398869.

It is an arithmetic number, because the mean of its divisors is an integer number (5424341580).

Almost surely, 2230250444512 is an apocalyptic number.

230250444512 is a gapful number since it is divisible by the number (22) 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 230250444512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260368395840).

230250444512 is an abundant number, since it is smaller than the sum of its proper divisors (290486347168).

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

230250444512 is a wasteful number, since it uses less digits than its factorization.

230250444512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12904 (or 12896 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 230250444512 its reverse (215444052032), we get a palindrome (445694496544).

The spelling of 230250444512 in words is "two hundred thirty billion, two hundred fifty million, four hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1672 3344 3797 6688 7594 9067 15188 18134 30376 36268 41767 60752 72143 72536 83534 99737 121504 144286 145072 167068 172273 199474 288572 290144 334136 344546 398948 577144 668272 689092 793573 797896 1154288 1336544 1378184 1587146 1595792 1895003 2308576 2756368 3174292 3191584 3790006 5512736 6348584 7580012 12697168 15160024 25394336 30320048 34427399 60640096 68854798 137709596 275419192 378701389 550838384 654120581 757402778 1101676768 1308241162 1514805556 2616482324 3029611112 5232964648 6059222224 7195326391 10465929296 12118444448 14390652782 20931858592 28781305564 57562611128 115125222256 230250444512