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3410112220 = 2253153157661
BaseRepresentation
bin1100101101000010…
…0010111011011100
322210122201122112121
43023100202323130
523440442042340
61322214312324
7150335322064
oct31320427334
98718648477
103410112220
11149aa12869
127b20586a4
134246567a8
14244c803a4
1514e5a394a
hexcb422edc

3410112220 has 96 divisors (see below), whose sum is σ = 7591159296. Its totient is φ = 1284940800.

The previous prime is 3410112217. The next prime is 3410112239. The reversal of 3410112220 is 222110143.

3410112220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3410112194 and 3410112203.

It is a congruent number.

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, 5158690 + ... + 5159350.

It is an arithmetic number, because the mean of its divisors is an integer number (79074576).

Almost surely, 23410112220 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 3410112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795579648).

3410112220 is an abundant number, since it is smaller than the sum of its proper divisors (4181047076).

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

3410112220 is a wasteful number, since it uses less digits than its factorization.

3410112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 3410112220 is about 58396.1661412802. The cubic root of 3410112220 is about 1505.1838746948.

Adding to 3410112220 its reverse (222110143), we get a palindrome (3632222363).

The spelling of 3410112220 in words is "three billion, four hundred ten million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 53 62 106 124 155 157 212 265 310 314 530 620 628 661 785 1060 1322 1570 1643 2644 3140 3286 3305 4867 6572 6610 8215 8321 9734 13220 16430 16642 19468 20491 24335 32860 33284 35033 40982 41605 48670 70066 81964 83210 97340 102455 103777 140132 166420 175165 204910 207554 257951 350330 409820 415108 515902 518885 700660 1031804 1037770 1086023 1289755 2075540 2172046 2579510 3217087 4344092 5159020 5430115 5500181 6434174 10860230 11000362 12868348 16085435 21720460 22000724 27500905 32170870 55001810 64341740 110003620 170505611 341011222 682022444 852528055 1705056110 3410112220