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669225648 = 243713349439
BaseRepresentation
bin100111111000111…
…001001010110000
31201122021012000010
4213320321022300
52332310210043
6150223454520
722404216120
oct4770711260
91648235003
10669225648
11313840153
12168157440
13a8855b10
1464c46c80
153db44133
hex27e392b0

669225648 has 160 divisors (see below), whose sum is σ = 2138752000. Its totient is φ = 175592448.

The previous prime is 669225637. The next prime is 669225653. The reversal of 669225648 is 846522966.

It is a happy number.

669225648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 669225597 and 669225606.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1524213 + ... + 1524651.

It is an arithmetic number, because the mean of its divisors is an integer number (13367200).

Almost surely, 2669225648 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 669225648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069376000).

669225648 is an abundant number, since it is smaller than the sum of its proper divisors (1469526352).

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

669225648 is a wasteful number, since it uses less digits than its factorization.

669225648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 813 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 669225648 is about 25869.3959728479. The cubic root of 669225648 is about 874.6967756941.

The spelling of 669225648 in words is "six hundred sixty-nine million, two hundred twenty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 349 364 439 546 624 698 728 878 1047 1092 1317 1396 1456 1756 2094 2184 2443 2634 2792 3073 3512 4188 4368 4537 4886 5268 5584 5707 6146 7024 7329 8376 9074 9219 9772 10536 11414 12292 13611 14658 16752 17121 18148 18438 19544 21072 22828 24584 27222 29316 31759 34242 36296 36876 39088 39949 45656 49168 54444 58632 63518 68484 72592 73752 79898 91312 95277 108888 117264 119847 127036 136968 147504 153211 159796 190554 217776 239694 254072 273936 306422 319592 381108 459633 479388 508144 612844 639184 762216 919266 958776 1072477 1225688 1524432 1838532 1917552 1991743 2144954 2451376 3217431 3677064 3983486 4289908 5975229 6434862 7354128 7966972 8579816 11950458 12869724 13942201 15933944 17159632 23900916 25739448 27884402 31867888 41826603 47801832 51478896 55768804 83653206 95603664 111537608 167306412 223075216 334612824 669225648