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22010420 = 22529137277
BaseRepresentation
bin101001111110…
…1101000110100
31112102020121202
41103331220310
521113313140
62103432032
7355041215
oct123755064
945366552
1022010420
1111473833
127455618
134738523
142ccd40c
151deb915
hex14fda34

22010420 has 48 divisors (see below), whose sum is σ = 48338640. Its totient is φ = 8408064.

The previous prime is 22010419. The next prime is 22010431. The reversal of 22010420 is 2401022.

It can be written as a sum of positive squares in 8 ways, for example, as 813604 + 21196816 = 902^2 + 4604^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79322 + ... + 79598.

It is an arithmetic number, because the mean of its divisors is an integer number (1007055).

Almost surely, 222010420 is an apocalyptic number.

22010420 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 22010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24169320).

22010420 is an abundant number, since it is smaller than the sum of its proper divisors (26328220).

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

22010420 is a wasteful number, since it uses less digits than its factorization.

22010420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 22010420 is about 4691.5264040608. The cubic root of 22010420 is about 280.2481643404.

Adding to 22010420 its reverse (2401022), we get a palindrome (24411442).

The spelling of 22010420 in words is "twenty-two million, ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 137 145 274 277 290 548 554 580 685 1108 1370 1385 2740 2770 3973 5540 7946 8033 15892 16066 19865 32132 37949 39730 40165 75898 79460 80330 151796 160660 189745 379490 758980 1100521 2201042 4402084 5502605 11005210 22010420