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220857912 = 2332112101251
BaseRepresentation
bin11010010101000…
…00011000111000
3120101120202002200
431022200120320
5423014423122
633525430200
75321155422
oct1512403070
9511522080
10220857912
11103739900
1261b6b360
13369ab072
1421491812
15145c95ac
hexd2a0638

220857912 has 144 divisors (see below), whose sum is σ = 666633240. Its totient is φ = 66000000.

The previous prime is 220857911. The next prime is 220857977. The reversal of 220857912 is 219758022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220857911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 879787 + ... + 880037.

Almost surely, 2220857912 is an apocalyptic number.

220857912 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220857912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333316620).

220857912 is an abundant number, since it is smaller than the sum of its proper divisors (445775328).

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

220857912 is a wasteful number, since it uses less digits than its factorization.

220857912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 220857912 is about 14861.2890423408. The cubic root of 220857912 is about 604.4647607771.

The spelling of 220857912 in words is "two hundred twenty million, eight hundred fifty-seven thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 101 121 132 198 202 242 251 264 303 363 396 404 484 502 606 726 753 792 808 909 968 1004 1089 1111 1212 1452 1506 1818 2008 2178 2222 2259 2424 2761 2904 3012 3333 3636 4356 4444 4518 5522 6024 6666 7272 8283 8712 8888 9036 9999 11044 12221 13332 16566 18072 19998 22088 24442 24849 25351 26664 30371 33132 36663 39996 48884 49698 50702 60742 66264 73326 76053 79992 91113 97768 99396 101404 109989 121484 146652 152106 182226 198792 202808 219978 228159 242968 273339 278861 293304 304212 364452 439956 456318 546678 557722 608424 728904 836583 879912 912636 1093356 1115444 1673166 1825272 2186712 2230888 2509749 3067471 3346332 5019498 6134942 6692664 9202413 10038996 12269884 18404826 20077992 24539768 27607239 36809652 55214478 73619304 110428956 220857912