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2111220090 = 2325715122193
BaseRepresentation
bin111110111010110…
…1010100101111010
312110010122002111200
41331311222211322
513310433020330
6545254435030
7103214034420
oct17565524572
95403562450
102111220090
119938019a1
124ab062a76
13278518b75
1416056b110
15c5531a60
hex7dd6a97a

2111220090 has 96 divisors (see below), whose sum is σ = 6315169536. Its totient is φ = 479347200.

The previous prime is 2111220061. The next prime is 2111220091. The reversal of 2111220090 is 900221112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2111220091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84034 + ... + 106226.

It is an arithmetic number, because the mean of its divisors is an integer number (65783016).

Almost surely, 22111220090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111220090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157584768).

2111220090 is an abundant number, since it is smaller than the sum of its proper divisors (4203949446).

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

2111220090 is a wasteful number, since it uses less digits than its factorization.

2111220090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22364 (or 22361 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 2111220090 is about 45948.0150822644. The cubic root of 2111220090 is about 1282.8557840130.

The spelling of 2111220090 in words is "two billion, one hundred eleven million, two hundred twenty thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 151 210 302 315 453 630 755 906 1057 1359 1510 2114 2265 2718 3171 4530 5285 6342 6795 9513 10570 13590 15855 19026 22193 31710 44386 47565 66579 95130 110965 133158 155351 199737 221930 310702 332895 399474 466053 665790 776755 932106 998685 1398159 1553510 1997370 2330265 2796318 3351143 4660530 6702286 6990795 10053429 13981590 16755715 20106858 23458001 30160287 33511430 46916002 50267145 60320574 70374003 100534290 117290005 140748006 150801435 211122009 234580010 301602870 351870015 422244018 703740030 1055610045 2111220090