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223226940 = 22357734813
BaseRepresentation
bin11010100111000…
…10110000111100
3120120001002210110
431103202300330
5424121230230
634052310020
75350253256
oct1523426074
9516032713
10223226940
11105007782
1262912310
133732a461
142190acd6
15148e64b0
hexd4e2c3c

223226940 has 48 divisors (see below), whose sum is σ = 625974048. Its totient is φ = 59437824.

The previous prime is 223226929. The next prime is 223226947. The reversal of 223226940 is 49622322.

223226940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232269403 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 223226898 and 223226907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223226947) 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, 43974 + ... + 48786.

It is an arithmetic number, because the mean of its divisors is an integer number (13041126).

Almost surely, 2223226940 is an apocalyptic number.

223226940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223226940 is an abundant number, since it is smaller than the sum of its proper divisors (402747108).

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

223226940 is a wasteful number, since it uses less digits than its factorization.

223226940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5598 (or 5596 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 223226940 is about 14940.7811040789. The cubic root of 223226940 is about 606.6183386746.

The spelling of 223226940 in words is "two hundred twenty-three million, two hundred twenty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 773 1546 2319 3092 3865 4638 4813 7730 9276 9626 11595 14439 15460 19252 23190 24065 28878 46380 48130 57756 72195 96260 144390 288780 3720449 7440898 11161347 14881796 18602245 22322694 37204490 44645388 55806735 74408980 111613470 223226940