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22152020 = 22511175923
BaseRepresentation
bin101010010000…
…0001101010100
31112200102212012
41110200031110
521132331040
62110443352
7356201102
oct124401524
945612765
1022152020
1111560160
127503558
134787b07
142d28c72
151e28865
hex1520354

22152020 has 48 divisors (see below), whose sum is σ = 53742528. Its totient is φ = 7580160.

The previous prime is 22152019. The next prime is 22152023. The reversal of 22152020 is 2025122.

It is a junction number, because it is equal to n+sod(n) for n = 22151986 and 22152004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22152023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 779 + ... + 6701.

It is an arithmetic number, because the mean of its divisors is an integer number (1119636).

Almost surely, 222152020 is an apocalyptic number.

22152020 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 22152020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26871264).

22152020 is an abundant number, since it is smaller than the sum of its proper divisors (31590508).

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

22152020 is a wasteful number, since it uses less digits than its factorization.

22152020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5960 (or 5958 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 22152020 is about 4706.5932477749. The cubic root of 22152020 is about 280.8478552270.

Adding to 22152020 its reverse (2025122), we get a palindrome (24177142).

The spelling of 22152020 in words is "twenty-two million, one hundred fifty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 5923 11846 23692 29615 59230 65153 100691 118460 130306 201382 260612 325765 402764 503455 651530 1006910 1107601 1303060 2013820 2215202 4430404 5538005 11076010 22152020