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22123680 = 253546091
BaseRepresentation
bin101010001100…
…1010010100000
31112121222222120
41110121102200
521130424210
62110104240
7356022345
oct124312240
945558876
1022123680
1111540937
1274ab080
134777c47
142d1c7cc
151e20270
hex15194a0

22123680 has 48 divisors (see below), whose sum is σ = 69691104. Its totient is φ = 5899520.

The previous prime is 22123667. The next prime is 22123687. The reversal of 22123680 is 8632122.

It is a tau number, because it is divible by the number of its divisors (48).

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 22123680.

It is not an unprimeable number, because it can be changed into a prime (22123687) 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, 22566 + ... + 23525.

It is an arithmetic number, because the mean of its divisors is an integer number (1451898).

Almost surely, 222123680 is an apocalyptic number.

22123680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22123680 is an abundant number, since it is smaller than the sum of its proper divisors (47567424).

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

22123680 is a wasteful number, since it uses less digits than its factorization.

22123680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46109 (or 46101 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 22123680 is about 4703.5816140469. The cubic root of 22123680 is about 280.7280373379.

The spelling of 22123680 in words is "twenty-two million, one hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 46091 92182 138273 184364 230455 276546 368728 460910 553092 691365 737456 921820 1106184 1382730 1474912 1843640 2212368 2765460 3687280 4424736 5530920 7374560 11061840 22123680