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2210021120 = 2854340153
BaseRepresentation
bin1000001110111010…
…0011111100000000
312201000112201001002
42003232203330000
514011231133440
61003144231132
7105523604156
oct20356437400
95630481032
102210021120
11a3455463a
1251816b4a8
13292b2ca08
1416d7293d6
15ce04b115
hex83ba3f00

2210021120 has 72 divisors (see below), whose sum is σ = 5416935216. Its totient is φ = 863428608.

The previous prime is 2210021101. The next prime is 2210021159. The reversal of 2210021120 is 211200122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34964 + ... + 75116.

Almost surely, 22210021120 is an apocalyptic number.

2210021120 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 2210021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708467608).

2210021120 is an abundant number, since it is smaller than the sum of its proper divisors (3206914096).

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

2210021120 is an equidigital number, since it uses as much as digits as its factorization.

2210021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40217 (or 40203 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2210021120 is about 47010.8617236485. The cubic root of 2210021120 is about 1302.5632110377.

Adding to 2210021120 its reverse (211200122), we get a palindrome (2421221242).

The spelling of 2210021120 in words is "two billion, two hundred ten million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 256 320 344 430 640 688 860 1280 1376 1720 2752 3440 5504 6880 11008 13760 27520 40153 55040 80306 160612 200765 321224 401530 642448 803060 1284896 1606120 1726579 2569792 3212240 3453158 5139584 6424480 6906316 8632895 10279168 12848960 13812632 17265790 25697920 27625264 34531580 51395840 55250528 69063160 110501056 138126320 221002112 276252640 442004224 552505280 1105010560 2210021120