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2010022140 = 223572683681
BaseRepresentation
bin111011111001110…
…1000000011111100
312012002012201000110
41313303220003330
513104031202030
6531241430020
7100544622600
oct16763500374
95162181013
102010022140
11941672425
1248119b310
13260576019
14150d47500
15bb6e21b0
hex77ce80fc

2010022140 has 72 divisors (see below), whose sum is σ = 6546938832. Its totient is φ = 459432960.

The previous prime is 2010022129. The next prime is 2010022247. The reversal of 2010022140 is 412200102.

It is a Harshad number since it is a multiple of its sum of digits (12).

2010022140 is a modest number, since divided by 22140 gives 20100 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338901 + ... + 344780.

It is an arithmetic number, because the mean of its divisors is an integer number (90929706).

Almost surely, 22010022140 is an apocalyptic number.

2010022140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010022140 is an abundant number, since it is smaller than the sum of its proper divisors (4536916692).

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

2010022140 is a wasteful number, since it uses less digits than its factorization.

2010022140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683707 (or 683698 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2010022140 is about 44833.2704584441. The cubic root of 2010022140 is about 1262.0220618789.

Adding to 2010022140 its reverse (412200102), we get a palindrome (2422222242).

The spelling of 2010022140 in words is "two billion, ten million, twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 683681 1367362 2051043 2734724 3418405 4102086 4785767 6836810 8204172 9571534 10255215 13673620 14357301 19143068 20510430 23928835 28714602 33500369 41020860 47857670 57429204 67000738 71786505 95715340 100501107 134001476 143573010 167501845 201002214 287146020 335003690 402004428 502505535 670007380 1005011070 2010022140