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22148112 = 2437292273
BaseRepresentation
bin101010001111…
…1010000010000
31112200020111110
41110133100100
521132214422
62110413320
7356153520
oct124372020
945606443
1022148112
1111558228
127501240
1347860bc
142d27680
151e2760c
hex151f410

22148112 has 80 divisors (see below), whose sum is σ = 67674240. Its totient is φ = 6107136.

The previous prime is 22148111. The next prime is 22148131. The reversal of 22148112 is 21184122.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22148111) 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, 8608 + ... + 10880.

It is an arithmetic number, because the mean of its divisors is an integer number (845928).

Almost surely, 222148112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22148112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33837120).

22148112 is an abundant number, since it is smaller than the sum of its proper divisors (45526128).

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

22148112 is a wasteful number, since it uses less digits than its factorization.

22148112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 2314 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

The square root of 22148112 is about 4706.1780671794. The cubic root of 22148112 is about 280.8313387804.

The spelling of 22148112 in words is "twenty-two million, one hundred forty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1392 1624 2273 2436 3248 4546 4872 6819 9092 9744 13638 15911 18184 27276 31822 36368 47733 54552 63644 65917 95466 109104 127288 131834 190932 197751 254576 263668 381864 395502 461419 527336 763728 791004 922838 1054672 1384257 1582008 1845676 2768514 3164016 3691352 5537028 7382704 11074056 22148112