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213021223440 = 24351541357587
BaseRepresentation
bin1100011001100100001…
…1011110101000010000
3202100211211000101001020
43012121003132220100
511442231413122230
6241505520035440
721250602344364
oct3063103365020
9670754011036
10213021223440
1182383a22093
1235350462b80
131711ac1210c
14a44b5b32a4
15581b6b9810
hex31990dea10

213021223440 has 80 divisors (see below), whose sum is σ = 660420105408. Its totient is φ = 56800987648.

The previous prime is 213021223421. The next prime is 213021223469. The reversal of 213021223440 is 44322120312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 213021223440.

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, 3670327 + ... + 3727913.

Almost surely, 2213021223440 is an apocalyptic number.

213021223440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213021223440 is an abundant number, since it is smaller than the sum of its proper divisors (447398881968).

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

213021223440 is a wasteful number, since it uses less digits than its factorization.

213021223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73016 (or 73010 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 213021223440 its reverse (44322120312), we get a palindrome (257343343752).

The spelling of 213021223440 in words is "two hundred thirteen billion, twenty-one million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 15413 30826 46239 57587 61652 77065 92478 115174 123304 154130 172761 184956 230348 231195 246608 287935 308260 345522 369912 460696 462390 575870 616520 691044 739824 863805 921392 924780 1151740 1233040 1382088 1727610 1849560 2303480 2764176 3455220 3699120 4606960 6910440 13820880 887588431 1775176862 2662765293 3550353724 4437942155 5325530586 7100707448 8875884310 10651061172 13313826465 14201414896 17751768620 21302122344 26627652930 35503537240 42604244688 53255305860 71007074480 106510611720 213021223440