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220034020404 = 2231119247735419
BaseRepresentation
bin1100110011101100001…
…1001011010000110100
3210000221112211100222010
43030323003023100310
512101112202123104
6245025432404220
721616435212522
oct3147303132064
9700845740863
10220034020404
1185352517260
1236788b46670
1317997a78a13
14a914b01312
155acc1b0489
hex333b0cb434

220034020404 has 96 divisors (see below), whose sum is σ = 589819507200. Its totient is φ = 63140376960.

The previous prime is 220034020403. The next prime is 220034020417. The reversal of 220034020404 is 404020430022.

220034020404 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220034020403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6194607 + ... + 6230025.

It is an arithmetic number, because the mean of its divisors is an integer number (6143953200).

Almost surely, 2220034020404 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 220034020404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294909753600).

220034020404 is an abundant number, since it is smaller than the sum of its proper divisors (369785486796).

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

220034020404 is a wasteful number, since it uses less digits than its factorization.

220034020404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37933 (or 37931 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 220034020404 its reverse (404020430022), we get a palindrome (624054450426).

The spelling of 220034020404 in words is "two hundred twenty billion, thirty-four million, twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2477 2508 4954 7431 9908 14862 27247 29724 35419 47063 54494 70838 81741 94126 106257 108988 141189 141676 163482 188252 212514 282378 326964 389609 425028 517693 564756 672961 779218 1035386 1168827 1345922 1553079 1558436 2018883 2070772 2337654 2691844 3106158 4037766 4675308 6212316 7402571 8075532 14805142 22207713 29610284 44415426 87732863 88830852 175465726 263198589 350931452 526397178 965061493 1052794356 1666924397 1930122986 2895184479 3333848794 3860245972 5000773191 5790368958 6667697588 10001546382 11580737916 18336168367 20003092764 36672336734 55008505101 73344673468 110017010202 220034020404