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214115025460 = 225729371425343
BaseRepresentation
bin1100011101101001000…
…0000000001000110100
3202110200001012021100011
43013122100000020310
512002001421303320
6242210232030004
721316653454510
oct3073220001064
9673601167304
10214115025460
11828953937a6
12355b6832304
131726370294b
14a51297b140
15588272905a
hex31da400234

214115025460 has 96 divisors (see below), whose sum is σ = 545963765760. Its totient is φ = 68963747328.

The previous prime is 214115025391. The next prime is 214115025469. The reversal of 214115025460 is 64520511412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214115025469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 562452 + ... + 862891.

It is an arithmetic number, because the mean of its divisors is an integer number (5687122560).

Almost surely, 2214115025460 is an apocalyptic number.

214115025460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214115025460 is an abundant number, since it is smaller than the sum of its proper divisors (331848740300).

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

214115025460 is a wasteful number, since it uses less digits than its factorization.

214115025460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425425 (or 1425423 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

Adding to 214115025460 its reverse (64520511412), we get a palindrome (278635536872).

The spelling of 214115025460 in words is "two hundred fourteen billion, one hundred fifteen million, twenty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 37 58 70 74 116 140 145 148 185 203 259 290 370 406 518 580 740 812 1015 1036 1073 1295 2030 2146 2590 4060 4292 5180 5365 7511 10730 15022 21460 30044 37555 75110 150220 1425343 2850686 5701372 7126715 9977401 14253430 19954802 28506860 39909604 41334947 49887005 52737691 82669894 99774010 105475382 165339788 199548020 206674735 210950764 263688455 289344629 369163837 413349470 527376910 578689258 738327674 826698940 1054753820 1157378516 1446723145 1476655348 1529393039 1845819185 2893446290 3058786078 3691638370 5786892580 6117572156 7383276740 7646965195 10705751273 15293930390 21411502546 30587860780 42823005092 53528756365 107057512730 214115025460