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214202444300 = 225213179920509
BaseRepresentation
bin1100011101111101110…
…1011110101000001100
3202110220010200121102222
43013133131132220030
512002141311204200
6242223033434512
721322064510105
oct3073735365014
9673803617388
10214202444300
118292a771879
123561bb6ba38
131727885ca80
14a5204153ac
15588a245d85
hex31df75ea0c

214202444300 has 72 divisors (see below), whose sum is σ = 503371688400. Its totient is φ = 78648203520.

The previous prime is 214202444297. The next prime is 214202444327. The reversal of 214202444300 is 3444202412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 214202444300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227555 + ... + 692954.

It is an arithmetic number, because the mean of its divisors is an integer number (6991273450).

Almost surely, 2214202444300 is an apocalyptic number.

214202444300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214202444300 is an abundant number, since it is smaller than the sum of its proper divisors (289169244100).

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

214202444300 is a wasteful number, since it uses less digits than its factorization.

214202444300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920715 (or 920708 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 214202444300 its reverse (3444202412), we get a palindrome (217646646712).

The spelling of 214202444300 in words is "two hundred fourteen billion, two hundred two million, four hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 179 260 325 358 650 716 895 1300 1790 2327 3580 4475 4654 8950 9308 11635 17900 23270 46540 58175 116350 232700 920509 1841018 3682036 4602545 9205090 11966617 18410180 23012725 23933234 46025450 47866468 59833085 92050900 119666170 164771111 239332340 299165425 329542222 598330850 659084444 823855555 1196661700 1647711110 2142024443 3295422220 4119277775 4284048886 8238555550 8568097772 10710122215 16477111100 21420244430 42840488860 53550611075 107101222150 214202444300