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22155540 = 22351133569
BaseRepresentation
bin101010010000…
…1000100010100
31112200121200120
41110201010110
521132434130
62110511540
7356214261
oct124410424
945617616
1022155540
1111562870
1275055b0
1347895b4
142d2a268
151e29910
hex1521114

22155540 has 48 divisors (see below), whose sum is σ = 67677120. Its totient is φ = 5370880.

The previous prime is 22155491. The next prime is 22155547. The reversal of 22155540 is 4555122.

It is a happy number.

It is a super-3 number, since 3×221555403 (a number of 23 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22155540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22155547) 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, 16125 + ... + 17444.

It is an arithmetic number, because the mean of its divisors is an integer number (1409940).

Almost surely, 222155540 is an apocalyptic number.

22155540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22155540 is an abundant number, since it is smaller than the sum of its proper divisors (45521580).

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

22155540 is a wasteful number, since it uses less digits than its factorization.

22155540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33592 (or 33590 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 22155540 is about 4706.9671764311. The cubic root of 22155540 is about 280.8627301999.

The spelling of 22155540 in words is "twenty-two million, one hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 33569 67138 100707 134276 167845 201414 335690 369259 402828 503535 671380 738518 1007070 1107777 1477036 1846295 2014140 2215554 3692590 4431108 5538885 7385180 11077770 22155540