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2211010020 = 223451364821
BaseRepresentation
bin1000001111001001…
…0101010111100100
312201002101221120000
42003302111113210
514012004310040
61003221341300
7105535163232
oct20362252744
95632357500
102211010020
11a3506a60a
12518567830
132930b7b6b
1416d905952
15ce194130
hex83c955e4

2211010020 has 60 divisors (see below), whose sum is σ = 6936025404. Its totient is φ = 589602240.

The previous prime is 2211010019. The next prime is 2211010037. The reversal of 2211010020 is 200101122.

It can be written as a sum of positive squares in 2 ways, for example, as 1556775936 + 654234084 = 39456^2 + 25578^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2211009984 and 2211010011.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 680791 + ... + 684030.

Almost surely, 22211010020 is an apocalyptic number.

2211010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211010020 is an abundant number, since it is smaller than the sum of its proper divisors (4725015384).

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

2211010020 is a wasteful number, since it uses less digits than its factorization.

2211010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364842 (or 1364831 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2211010020 is about 47021.3783294365. The cubic root of 2211010020 is about 1302.7574644877.

Adding to 2211010020 its reverse (200101122), we get a palindrome (2411111142).

The spelling of 2211010020 in words is "two billion, two hundred eleven million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 1364821 2729642 4094463 5459284 6824105 8188926 12283389 13648210 16377852 20472315 24566778 27296420 36850167 40944630 49133556 61416945 73700334 81889260 110550501 122833890 147400668 184250835 221101002 245667780 368501670 442202004 552752505 737003340 1105505010 2211010020