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220310331332 = 227132442110531
BaseRepresentation
bin1100110100101110000…
…1001101111111000100
3210001122210202102022012
43031023201031333010
512102143421100312
6245113102553352
721626331626660
oct3151341157704
9701583672265
10220310331332
11854844907a3
1236845598858
1317a100a1200
14a93d6a98a0
155ae6590322
hex334b84dfc4

220310331332 has 72 divisors (see below), whose sum is σ = 477275020992. Its totient is φ = 87127747200.

The previous prime is 220310331317. The next prime is 220310331349. The reversal of 220310331332 is 233133013022.

It is a junction number, because it is equal to n+sod(n) for n = 220310331298 and 220310331307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20914907 + ... + 20925437.

It is an arithmetic number, because the mean of its divisors is an integer number (6628819736).

Almost surely, 2220310331332 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 220310331332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238637510496).

220310331332 is an abundant number, since it is smaller than the sum of its proper divisors (256964689660).

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

220310331332 is a wasteful number, since it uses less digits than its factorization.

220310331332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14989 (or 14974 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 220310331332 its reverse (233133013022), we get a palindrome (453443344354).

The spelling of 220310331332 in words is "two hundred twenty billion, three hundred ten million, three hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 338 364 676 1183 2366 4421 4732 8842 10531 17684 21062 30947 42124 57473 61894 73717 114946 123788 136903 147434 229892 273806 294868 402311 547612 747149 804622 958321 1494298 1609244 1779739 1916642 2988596 3559478 3833284 5230043 7118956 10460086 12458173 20920172 24916346 46557551 49832692 93115102 186230204 325902857 605248163 651805714 1210496326 1303611428 2420992652 4236737141 7868226119 8473474282 15736452238 16946948564 31472904476 55077582833 110155165666 220310331332