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213670656 = 2833191627
BaseRepresentation
bin11001011110001…
…01101100000000
3112220001121001000
430233011230000
5414144430111
633111412000
75203112343
oct1457055400
9486047030
10213670656
11aa67aa21
125b684000
1335362854
142054045a
1513b59c56
hexcbc5b00

213670656 has 144 divisors (see below), whose sum is σ = 665526400. Its totient is φ = 67433472.

The previous prime is 213670649. The next prime is 213670673. The reversal of 213670656 is 656076312.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 213670656.

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, 130515 + ... + 132141.

Almost surely, 2213670656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213670656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332763200).

213670656 is an abundant number, since it is smaller than the sum of its proper divisors (451855744).

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

213670656 is a wasteful number, since it uses less digits than its factorization.

213670656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 213670656 is about 14617.4777578076. The cubic root of 213670656 is about 597.8354002374.

The spelling of 213670656 in words is "two hundred thirteen million, six hundred seventy thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 513 576 608 684 768 864 912 1026 1152 1216 1368 1627 1728 1824 2052 2304 2432 2736 3254 3456 3648 4104 4864 4881 5472 6508 6912 7296 8208 9762 10944 13016 14592 14643 16416 19524 21888 26032 29286 30913 32832 39048 43776 43929 52064 58572 61826 65664 78096 87858 92739 104128 117144 123652 131328 156192 175716 185478 208256 234288 247304 278217 312384 351432 370956 416512 468576 494608 556434 624768 702864 741912 834651 937152 989216 1112868 1249536 1405728 1483824 1669302 1874304 1978432 2225736 2811456 2967648 3338604 3748608 3956864 4451472 5622912 5935296 6677208 7913728 8902944 11245824 11870592 13354416 17805888 23741184 26708832 35611776 53417664 71223552 106835328 213670656