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2257066020 = 22351126912713
BaseRepresentation
bin1000011010001000…
…0001100000100100
312211022001211111210
42012202001200210
514110302103040
61011544431420
7106634513256
oct20642014044
95738054453
102257066020
11a59067120
1252ba78570
1329c7c2031
14175a93cd6
15d3240480
hex86881824

2257066020 has 96 divisors (see below), whose sum is σ = 6920484480. Its totient is φ = 545090560.

The previous prime is 2257065989. The next prime is 2257066037. The reversal of 2257066020 is 206607522.

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

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, 171184 + ... + 183896.

It is an arithmetic number, because the mean of its divisors is an integer number (72088380).

Almost surely, 22257066020 is an apocalyptic number.

2257066020 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 2257066020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460242240).

2257066020 is an abundant number, since it is smaller than the sum of its proper divisors (4663418460).

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

2257066020 is a wasteful number, since it uses less digits than its factorization.

2257066020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13005 (or 13003 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2257066020 is about 47508.5889076912. The cubic root of 2257066020 is about 1311.7409830055.

The spelling of 2257066020 in words is "two billion, two hundred fifty-seven million, sixty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 269 330 538 660 807 1076 1345 1614 2690 2959 3228 4035 5380 5918 8070 8877 11836 12713 14795 16140 17754 25426 29590 35508 38139 44385 50852 59180 63565 76278 88770 127130 139843 152556 177540 190695 254260 279686 381390 419529 559372 699215 762780 839058 1398430 1678116 2097645 2796860 3419797 4195290 6839594 8390580 10259391 13679188 17098985 20518782 34197970 37617767 41037564 51296955 68395940 75235534 102593910 112853301 150471068 188088835 205187820 225706602 376177670 451413204 564266505 752355340 1128533010 2257066020