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230203101440 = 2851319172431
BaseRepresentation
bin1101011001100100101…
…1001001000100000000
3211000012020202012200002
43112121023021010000
512232423443221230
6253430455215132
722426435035224
oct3263113110400
9730166665602
10230203101440
11896a0716364
12387466774a8
13189287b6130
14b1db4b8784
155ec4d1b545
hex35992c9100

230203101440 has 144 divisors (see below), whose sum is σ = 596941664256. Its totient is φ = 84551884800.

The previous prime is 230203101421. The next prime is 230203101461. The reversal of 230203101440 is 44101302032.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 3142025 + ... + 3214455.

It is an arithmetic number, because the mean of its divisors is an integer number (4145428224).

Almost surely, 2230203101440 is an apocalyptic number.

230203101440 is a gapful number since it is divisible by the number (20) 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 230203101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298470832128).

230203101440 is an abundant number, since it is smaller than the sum of its proper divisors (366738562816).

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

230203101440 is a wasteful number, since it uses less digits than its factorization.

230203101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72656 (or 72642 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 230203101440 its reverse (44101302032), we get a palindrome (274304403472).

The spelling of 230203101440 in words is "two hundred thirty billion, two hundred three million, one hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 191 208 256 260 320 382 416 520 640 764 832 955 1040 1280 1528 1664 1910 2080 2483 3056 3328 3820 4160 4966 6112 7640 8320 9932 12224 12415 15280 16640 19864 24448 24830 30560 39728 48896 49660 61120 72431 79456 99320 122240 144862 158912 198640 244480 289724 317824 362155 397280 579448 635648 724310 794560 941603 1158896 1448620 1589120 1883206 2317792 2897240 3178240 3766412 4635584 4708015 5794480 7532824 9271168 9416030 11588960 13834321 15065648 18542336 18832060 23177920 27668642 30131296 37664120 46355840 55337284 60262592 69171605 75328240 92711680 110674568 120525184 138343210 150656480 179846173 221349136 241050368 276686420 301312960 359692346 442698272 553372840 602625920 719384692 885396544 899230865 1106745680 1205251840 1438769384 1770793088 1798461730 2213491360 2877538768 3541586176 3596923460 4426982720 5755077536 7193846920 8853965440 11510155072 14387693840 17707930880 23020310144 28775387680 46040620288 57550775360 115101550720 230203101440