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2445166020 = 22351111813137
BaseRepresentation
bin1001000110111110…
…0100010111000100
320022102000022012110
42101233210113010
520001430303040
61042344221020
7114410365623
oct22157442704
96272008173
102445166020
111045261470
12582a6a770
132cc7709cb
14192a596ba
15e49e8980
hex91be45c4

2445166020 has 96 divisors (see below), whose sum is σ = 7477577856. Its totient is φ = 592076800.

The previous prime is 2445166019. The next prime is 2445166021. The reversal of 2445166020 is 206615442.

It is an interprime number because it is at equal distance from previous prime (2445166019) and next prime (2445166021).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2445166021) 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, 777892 + ... + 781028.

It is an arithmetic number, because the mean of its divisors is an integer number (77891436).

Almost surely, 22445166020 is an apocalyptic number.

2445166020 is a gapful number since it is divisible by the number (20) 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 2445166020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3738788928).

2445166020 is an abundant number, since it is smaller than the sum of its proper divisors (5032411836).

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

2445166020 is a wasteful number, since it uses less digits than its factorization.

2445166020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4341 (or 4339 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2445166020 is about 49448.6200009667. The cubic root of 2445166020 is about 1347.2125420163.

The spelling of 2445166020 in words is "two billion, four hundred forty-five million, one hundred sixty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1181 2362 3137 3543 4724 5905 6274 7086 9411 11810 12548 12991 14172 15685 17715 18822 23620 25982 31370 34507 35430 37644 38973 47055 51964 62740 64955 69014 70860 77946 94110 103521 129910 138028 155892 172535 188220 194865 207042 259820 345070 389730 414084 517605 690140 779460 1035210 2070420 3704797 7409594 11114391 14819188 18523985 22228782 37047970 40752767 44457564 55571955 74095940 81505534 111143910 122258301 163011068 203763835 222287820 244516602 407527670 489033204 611291505 815055340 1222583010 2445166020