Search a number
-
+
220364211204 = 223337137402527
BaseRepresentation
bin1100110100111010111…
…0110000010000000100
3210001210120010210121000
43031032232300100010
512102301214224304
6245122305453300
721630554614104
oct3151656602004
9701716123530
10220364211204
1185501941515
123685b641230
1317a1b2b75a7
14a9468d3204
155aeb184939
hex334ebb0404

220364211204 has 96 divisors (see below), whose sum is σ = 591039912960. Its totient is φ = 70947622656.

The previous prime is 220364211191. The next prime is 220364211217. The reversal of 220364211204 is 402112463022.

220364211204 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 642 + 1 + 12 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (220364211191) and next prime (220364211217).

It is a super-2 number, since 2×2203642112042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 346189 + ... + 748715.

It is an arithmetic number, because the mean of its divisors is an integer number (6156665760).

Almost surely, 2220364211204 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 220364211204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295519956480).

220364211204 is an abundant number, since it is smaller than the sum of its proper divisors (370675701756).

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

220364211204 is a wasteful number, since it uses less digits than its factorization.

220364211204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402714 (or 402706 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 220364211204 its reverse (402112463022), we get a palindrome (622476674226).

The spelling of 220364211204 in words is "two hundred twenty billion, three hundred sixty-four million, two hundred eleven thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 137 148 222 274 333 411 444 548 666 822 999 1233 1332 1644 1998 2466 3699 3996 4932 5069 7398 10138 14796 15207 20276 30414 45621 60828 91242 136863 182484 273726 402527 547452 805054 1207581 1610108 2415162 3622743 4830324 7245486 10868229 14490972 14893499 21736458 29786998 43472916 44680497 55146199 59573996 89360994 110292398 134041491 165438597 178721988 220584796 268082982 330877194 402124473 496315791 536165964 661754388 804248946 992631582 1488947373 1608497892 1985263164 2040409363 2977894746 4080818726 5955789492 6121228089 8161637452 12242456178 18363684267 24484912356 36727368534 55091052801 73454737068 110182105602 220364211204