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213701418 = 232723371993
BaseRepresentation
bin11001011110011…
…01001100101010
3112220010011020100
430233031030222
5414201421133
633112210230
75203301130
oct1457151452
9486104210
10213701418
11aa6a1047
125b699976
1335373858
142054b750
1513b63e13
hexcbcd32a

213701418 has 96 divisors (see below), whose sum is σ = 567380736. Its totient is φ = 56795904.

The previous prime is 213701393. The next prime is 213701431. The reversal of 213701418 is 814107312.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213701391 and 213701400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106230 + ... + 108222.

It is an arithmetic number, because the mean of its divisors is an integer number (5910216).

Almost surely, 2213701418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213701418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283690368).

213701418 is an abundant number, since it is smaller than the sum of its proper divisors (353679318).

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

213701418 is a wasteful number, since it uses less digits than its factorization.

213701418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 213701418 is about 14618.5299534529. The cubic root of 213701418 is about 597.8640888283.

The spelling of 213701418 in words is "two hundred thirteen million, seven hundred one thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 37 42 46 63 69 74 111 126 138 161 207 222 259 322 333 414 483 518 666 777 851 966 1449 1554 1702 1993 2331 2553 2898 3986 4662 5106 5957 5979 7659 11914 11958 13951 15318 17871 17937 27902 35742 35874 41853 45839 53613 73741 83706 91678 107226 125559 137517 147482 221223 251118 275034 320873 412551 442446 516187 641746 663669 825102 962619 1032374 1327338 1548561 1696043 1925238 2887857 3097122 3392086 4645683 5088129 5775714 9291366 10176258 11872301 15264387 23744602 30528774 35616903 71233806 106850709 213701418