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3204222420 = 2235715748593
BaseRepresentation
bin1011111011111100…
…1000110111010100
322021022022100211110
42332333020313110
523030240104140
61245541335020
7142255304220
oct27677106724
98238270743
103204222420
1113a4777803
12755107470
133c0ab96c9
142257a7780
1513b484380
hexbefc8dd4

3204222420 has 96 divisors (see below), whose sum is σ = 10319033088. Its totient is φ = 727713792.

The previous prime is 3204222409. The next prime is 3204222433. The reversal of 3204222420 is 242224023.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 41644 + ... + 90236.

It is an arithmetic number, because the mean of its divisors is an integer number (107489928).

Almost surely, 23204222420 is an apocalyptic number.

3204222420 is a gapful number since it is divisible by the number (30) 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 3204222420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159516544).

3204222420 is an abundant number, since it is smaller than the sum of its proper divisors (7114810668).

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

3204222420 is a wasteful number, since it uses less digits than its factorization.

3204222420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48769 (or 48767 counting only the distinct ones).

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

The square root of 3204222420 is about 56605.8514643142. The cubic root of 3204222420 is about 1474.2604615986.

Adding to 3204222420 its reverse (242224023), we get a palindrome (3446446443).

The spelling of 3204222420 in words is "three billion, two hundred four million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 157 210 314 420 471 628 785 942 1099 1570 1884 2198 2355 3140 3297 4396 4710 5495 6594 9420 10990 13188 16485 21980 32970 48593 65940 97186 145779 194372 242965 291558 340151 485930 583116 680302 728895 971860 1020453 1360604 1457790 1700755 2040906 2915580 3401510 4081812 5102265 6803020 7629101 10204530 15258202 20409060 22887303 30516404 38145505 45774606 53403707 76291010 91549212 106807414 114436515 152582020 160211121 213614828 228873030 267018535 320422242 457746060 534037070 640844484 801055605 1068074140 1602111210 3204222420