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22255440 = 2435471973
BaseRepresentation
bin101010011100…
…1011101010000
31112212200201120
41110321131100
521144133230
62113002240
7360111444
oct124713520
945780646
1022255440
1111620929
127553380
1347c2bcc
142d54824
151e49310
hex1539750

22255440 has 80 divisors (see below), whose sum is σ = 70495488. Its totient is φ = 5805568.

The previous prime is 22255439. The next prime is 22255469. The reversal of 22255440 is 4455222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22255440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10294 + ... + 12266.

Almost surely, 222255440 is an apocalyptic number.

22255440 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 22255440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35247744).

22255440 is an abundant number, since it is smaller than the sum of its proper divisors (48240048).

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

22255440 is a wasteful number, since it uses less digits than its factorization.

22255440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 22255440 is about 4717.5671696331. The cubic root of 22255440 is about 281.2842368198.

The spelling of 22255440 in words is "twenty-two million, two hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 1973 2256 2820 3760 3946 5640 5919 7892 9865 11280 11838 15784 19730 23676 29595 31568 39460 47352 59190 78920 92731 94704 118380 157840 185462 236760 278193 370924 463655 473520 556386 741848 927310 1112772 1390965 1483696 1854620 2225544 2781930 3709240 4451088 5563860 7418480 11127720 22255440