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2211212020 = 2251931337557
BaseRepresentation
bin1000001111001100…
…0110101011110100
312201002210012122111
42003303012223310
514012032241040
61003225540404
7105536664163
oct20363065364
95632705574
102211212020
11a35198356
12518644704
13293158aa4
1416d9593da
15ce1d3dea
hex83cc6af4

2211212020 has 96 divisors (see below), whose sum is σ = 5069675520. Its totient is φ = 807045120.

The previous prime is 2211211949. The next prime is 2211212023. The reversal of 2211212020 is 202121122.

It is a happy number.

2211212020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211212023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3969582 + ... + 3970138.

It is an arithmetic number, because the mean of its divisors is an integer number (52809120).

Almost surely, 22211212020 is an apocalyptic number.

2211212020 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 2211212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534837760).

2211212020 is an abundant number, since it is smaller than the sum of its proper divisors (2858463500).

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

2211212020 is a wasteful number, since it uses less digits than its factorization.

2211212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2211212020 is about 47023.5262395325. The cubic root of 2211212020 is about 1302.7971370042.

Adding to 2211212020 its reverse (202121122), we get a palindrome (2413333142).

The spelling of 2211212020 in words is "two billion, two hundred eleven million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 337 380 557 589 620 674 1114 1178 1348 1685 2228 2356 2785 2945 3370 5570 5890 6403 6740 10447 10583 11140 11780 12806 17267 20894 21166 25612 32015 34534 41788 42332 52235 52915 64030 69068 86335 104470 105830 128060 172670 187709 198493 208940 211660 328073 345340 375418 396986 656146 750836 793972 938545 992465 1312292 1640365 1877090 1984930 3280730 3566471 3754180 3969860 5818979 6561460 7132942 11637958 14265884 17832355 23275916 29094895 35664710 58189790 71329420 110560601 116379580 221121202 442242404 552803005 1105606010 2211212020