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20221952 = 2124937
BaseRepresentation
bin100110100100…
…1000000000000
31102001101022012
41031021000000
520134100302
62001232052
7333612062
oct115110000
942041265
1020221952
1110462063
126932628
13426046a
142985732
151b96a52
hex1349000

20221952 has 26 divisors (see below), whose sum is σ = 40447158. Its totient is φ = 10108928.

The previous prime is 20221937. The next prime is 20221963. The reversal of 20221952 is 25912202.

It can be written as a sum of positive squares in only one way, i.e., 16777216 + 3444736 = 4096^2 + 1856^2 .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1628 + ... + 6564.

Almost surely, 220221952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20221952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20223579).

20221952 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

20221952 is an frugal number, since it uses more digits than its factorization.

20221952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4961 (or 4939 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 20221952 is about 4496.8824756713. The cubic root of 20221952 is about 272.4421873259.

The spelling of 20221952 in words is "twenty million, two hundred twenty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 4937 9874 19748 39496 78992 157984 315968 631936 1263872 2527744 5055488 10110976 20221952