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3220571040 = 253510365141
BaseRepresentation
bin1011111111110110…
…0000001110100000
322022110001221220220
42333331200032200
523043431233130
61251324003040
7142544254641
oct27775401640
98273057826
103220571040
111402a23765
1275a690480
133c42c1b4b
14227a216c8
1513cb13410
hexbff603a0

3220571040 has 96 divisors (see below), whose sum is σ = 10243449216. Its totient is φ = 850467840.

The previous prime is 3220571009. The next prime is 3220571089. The reversal of 3220571040 is 401750223.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3220571040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16870 + ... + 82010.

It is an arithmetic number, because the mean of its divisors is an integer number (106702596).

Almost surely, 23220571040 is an apocalyptic number.

3220571040 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 3220571040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5121724608).

3220571040 is an abundant number, since it is smaller than the sum of its proper divisors (7022878176).

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

3220571040 is a wasteful number, since it uses less digits than its factorization.

3220571040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65262 (or 65254 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 3220571040 is about 56750.0752422409. The cubic root of 3220571040 is about 1476.7635388236.

The spelling of 3220571040 in words is "three billion, two hundred twenty million, five hundred seventy-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 103 120 160 206 240 309 412 480 515 618 824 1030 1236 1545 1648 2060 2472 3090 3296 4120 4944 6180 8240 9888 12360 16480 24720 49440 65141 130282 195423 260564 325705 390846 521128 651410 781692 977115 1042256 1302820 1563384 1954230 2084512 2605640 3126768 3908460 5211280 6253536 6709523 7816920 10422560 13419046 15633840 20128569 26838092 31267680 33547615 40257138 53676184 67095230 80514276 100642845 107352368 134190460 161028552 201285690 214704736 268380920 322057104 402571380 536761840 644114208 805142760 1073523680 1610285520 3220571040