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214331215130250 = 23538323331475813
BaseRepresentation
bin110000101110111011011111…
…111100010010111010001010
31001002212212022220020221210020
4300232323133330102322022
5211043100312033132000
62035502222334201310
763100630213102341
oct6056733774227212
91032785286227706
10214331215130250
11623243a3379639
12200569aa353236
1392794680979aa
143acd986b8ab58
1519ba3a7c9dba0
hexc2eedff12e8a

214331215130250 has 128 divisors (see below), whose sum is σ = 541648578901248. Its totient is φ = 56442134777600.

The previous prime is 214331215130231. The next prime is 214331215130269. The reversal of 214331215130250 is 52031512133412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (214331215130231) and next prime (214331215130269).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144491344 + ... + 145967156.

It is an arithmetic number, because the mean of its divisors is an integer number (4231629522666).

Almost surely, 2214331215130250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214331215130250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270824289450624).

214331215130250 is an abundant number, since it is smaller than the sum of its proper divisors (327317363770998).

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

214331215130250 is a wasteful number, since it uses less digits than its factorization.

214331215130250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478249 (or 1478239 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 214331215130250 its reverse (52031512133412), we get a palindrome (266362727263662).

The spelling of 214331215130250 in words is "two hundred fourteen trillion, three hundred thirty-one billion, two hundred fifteen million, one hundred thirty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 83 125 150 166 249 250 375 415 498 750 830 1245 2075 2333 2490 4150 4666 6225 6999 10375 11665 12450 13998 20750 23330 31125 34995 58325 62250 69990 116650 174975 193639 291625 349950 387278 580917 583250 874875 968195 1161834 1475813 1749750 1936390 2904585 2951626 4427439 4840975 5809170 7379065 8854878 9681950 14522925 14758130 22137195 24204875 29045850 36895325 44274390 48409750 72614625 73790650 110685975 122492479 145229250 184476625 221371950 244984958 367477437 368953250 553429875 612462395 734954874 1106859750 1224924790 1837387185 3062311975 3443071729 3674774370 6124623950 6886143458 9186935925 10329215187 15311559875 17215358645 18373871850 20658430374 30623119750 34430717290 45934679625 51646075935 86076793225 91869359250 103292151870 172153586450 258230379675 285774953507 430383966125 516460759350 571549907014 857324860521 860767932250 1291151898375 1428874767535 1714649721042 2582303796750 2857749535070 4286624302605 7144373837675 8573248605210 14288747675350 21433121513025 35721869188375 42866243026050 71443738376750 107165607565125 214331215130250