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22851940 = 2253730881
BaseRepresentation
bin101011100101…
…1000101100100
31120222222222011
41113023011210
521322230230
62133444004
7365144506
oct127130544
946888864
1022851940
1111999001
1277a0604
134971577
14306bd76
152015e2a
hex15cb164

22851940 has 24 divisors (see below), whose sum is σ = 49287672. Its totient is φ = 8893440.

The previous prime is 22851937. The next prime is 22851947. The reversal of 22851940 is 4915822.

22851940 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 12916836 + 9935104 = 3594^2 + 3152^2 .

It is a super-2 number, since 2×228519402 = 1044422323527200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22851947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14701 + ... + 16180.

It is an arithmetic number, because the mean of its divisors is an integer number (2053653).

Almost surely, 222851940 is an apocalyptic number.

22851940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22851940 is an abundant number, since it is smaller than the sum of its proper divisors (26435732).

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

22851940 is a wasteful number, since it uses less digits than its factorization.

22851940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30927 (or 30925 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 22851940 is about 4780.3702785454. The cubic root of 22851940 is about 283.7751476868.

It can be divided in two parts, 2285 and 1940, that added together give a square (4225 = 652).

The spelling of 22851940 in words is "twenty-two million, eight hundred fifty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 30881 61762 123524 154405 308810 617620 1142597 2285194 4570388 5712985 11425970 22851940