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230402410000 = 245472470209
BaseRepresentation
bin1101011010010100001…
…1011100011000010000
3211000201010210010121121
43112211003130120100
512233331004110000
6253502335132024
722434405112600
oct3264503343020
9730633703547
10230402410000
1189793176884
12387a1374014
131895ab8a7a9
14b219b5ac00
155ed758ab1a
hex35a50dc610

230402410000 has 150 divisors (see below), whose sum is σ = 648902495670. Its totient is φ = 78994944000.

The previous prime is 230402409977. The next prime is 230402410009. The reversal of 230402410000 is 14204032.

It can be written as a sum of positive squares in 5 ways, for example, as 161848508416 + 68553901584 = 402304^2 + 261828^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (230402410009) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 254896 + ... + 725104.

Almost surely, 2230402410000 is an apocalyptic number.

230402410000 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 230402410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324451247835).

230402410000 is an abundant number, since it is smaller than the sum of its proper divisors (418500085670).

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

230402410000 is an equidigital number, since it uses as much as digits as its factorization.

230402410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470251 (or 470223 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 230402410000 its reverse (14204032), we get a palindrome (230416614032).

The spelling of 230402410000 in words is "two hundred thirty billion, four hundred two million, four hundred ten thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 625 700 784 875 980 1000 1225 1250 1400 1750 1960 2000 2450 2500 2800 3500 3920 4375 4900 5000 6125 7000 8750 9800 10000 12250 14000 17500 19600 24500 30625 35000 49000 61250 70000 98000 122500 245000 470209 490000 940418 1880836 2351045 3291463 3761672 4702090 6582926 7523344 9404180 11755225 13165852 16457315 18808360 23040241 23510450 26331704 32914630 37616720 46080482 47020900 52663408 58776125 65829260 82286575 92160964 94041800 115201205 117552250 131658520 164573150 184321928 188083600 230402410 235104500 263317040 293880625 329146300 368643856 411432875 460804820 470209000 576006025 587761250 658292600 822865750 921609640 940418000 1152012050 1175522500 1316585200 1645731500 1843219280 2057164375 2304024100 2351045000 2880030125 3291463000 4114328750 4608048200 4702090000 5760060250 6582926000 8228657500 9216096400 11520120500 14400150625 16457315000 23040241000 28800301250 32914630000 46080482000 57600602500 115201205000 230402410000