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22922940 = 2235834603
BaseRepresentation
bin101011101110…
…0011010111100
31121010121100210
41113130122330
521332013230
62135152420
7365561505
oct127343274
947117323
1022922940
1111a37387
127815710
134997991
143089bac
15202beb0
hex15dc6bc

22922940 has 48 divisors (see below), whose sum is σ = 64971648. Its totient is φ = 6037824.

The previous prime is 22922923. The next prime is 22922947. The reversal of 22922940 is 4922922.

It is a super-2 number, since 2×229229402 = 1050922356487200, which contains 22 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 = 22922898 and 22922907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22922947) 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, 2679 + ... + 7281.

It is an arithmetic number, because the mean of its divisors is an integer number (1353576).

Almost surely, 222922940 is an apocalyptic number.

22922940 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 22922940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32485824).

22922940 is an abundant number, since it is smaller than the sum of its proper divisors (42048708).

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

22922940 is a wasteful number, since it uses less digits than its factorization.

22922940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4698 (or 4696 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 22922940 is about 4787.7907222434. The cubic root of 22922940 is about 284.0687362554.

The spelling of 22922940 in words is "twenty-two million, nine hundred twenty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4603 4980 9206 13809 18412 23015 27618 46030 55236 69045 92060 138090 276180 382049 764098 1146147 1528196 1910245 2292294 3820490 4584588 5730735 7640980 11461470 22922940