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220322332104 = 233719103670129
BaseRepresentation
bin1100110100110000111…
…0111111110111001000
3210001200122100010021020
43031030032333313020
512102210004111404
6245114212112440
721626535631440
oct3151416776710
9701618303236
10220322332104
1185490238096
1236849605720
1317a12713664
14a941111120
155ae7660ed9
hex334c3bfdc8

220322332104 has 128 divisors (see below), whose sum is σ = 669057792000. Its totient is φ = 59057040384.

The previous prime is 220322332081. The next prime is 220322332117. The reversal of 220322332104 is 401233223022.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 6289 + ... + 663840.

It is an arithmetic number, because the mean of its divisors is an integer number (5227014000).

Almost surely, 2220322332104 is an apocalyptic number.

220322332104 is a gapful number since it is divisible by the number (24) 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 220322332104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334528896000).

220322332104 is an abundant number, since it is smaller than the sum of its proper divisors (448735459896).

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

220322332104 is a wasteful number, since it uses less digits than its factorization.

220322332104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670267 (or 670263 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 220322332104 its reverse (401233223022), we get a palindrome (621555555126).

The spelling of 220322332104 in words is "two hundred twenty billion, three hundred twenty-two million, three hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 103 114 133 152 168 206 228 266 309 399 412 456 532 618 721 798 824 1064 1236 1442 1596 1957 2163 2472 2884 3192 3914 4326 5768 5871 7828 8652 11742 13699 15656 17304 23484 27398 41097 46968 54796 82194 109592 164388 328776 670129 1340258 2010387 2680516 4020774 4690903 5361032 8041548 9381806 12732451 14072709 16083096 18763612 25464902 28145418 37527224 38197353 50929804 56290836 69023287 76394706 89127157 101859608 112581672 138046574 152789412 178254314 207069861 267381471 276093148 305578824 356508628 414139722 483163009 534762942 552186296 713017256 828279444 966326018 1069525884 1311442453 1449489027 1656558888 1932652036 2139051768 2622884906 2898978054 3865304072 3934327359 5245769812 5797956108 7868654718 9180097171 10491539624 11595912216 15737309436 18360194342 27540291513 31474618872 36720388684 55080583026 73440777368 110161166052 220322332104