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3220841920 = 265411271933
BaseRepresentation
bin1011111111111010…
…0010010111000000
322022110120201111111
42333332202113000
523044013420140
61251333453104
7142546463452
oct27776422700
98273521444
103220841920
11140309922a
1275a7a1194
133c438822a
14227a922d2
1513cb687ea
hexbffa25c0

3220841920 has 112 divisors (see below), whose sum is σ = 7922654208. Its totient is φ = 1246371840.

The previous prime is 3220841909. The next prime is 3220841933. The reversal of 3220841920 is 291480223.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1665274 + ... + 1667206.

It is an arithmetic number, because the mean of its divisors is an integer number (70737984).

Almost surely, 23220841920 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 3220841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3961327104).

3220841920 is an abundant number, since it is smaller than the sum of its proper divisors (4701812288).

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

3220841920 is a wasteful number, since it uses less digits than its factorization.

3220841920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 3220841920 is about 56752.4617968243. The cubic root of 3220841920 is about 1476.8049408490.

The spelling of 3220841920 in words is "three billion, two hundred twenty million, eight hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 127 160 164 205 254 320 328 410 508 635 656 820 1016 1270 1312 1640 1933 2032 2540 2624 3280 3866 4064 5080 5207 6560 7732 8128 9665 10160 10414 13120 15464 19330 20320 20828 26035 30928 38660 40640 41656 52070 61856 77320 79253 83312 104140 123712 154640 158506 166624 208280 245491 309280 317012 333248 396265 416560 490982 618560 634024 792530 833120 981964 1227455 1268048 1585060 1666240 1963928 2454910 2536096 3170120 3927856 4909820 5072192 6340240 7855712 9819640 10065131 12680480 15711424 19639280 20130262 25360960 39278560 40260524 50325655 78557120 80521048 100651310 161042096 201302620 322084192 402605240 644168384 805210480 1610420960 3220841920