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22114488 = 23311211397
BaseRepresentation
bin101010001011…
…1000010111000
31112121112101010
41110113002320
521130130423
62105553520
7355653504
oct124270270
945545333
1022114488
1111534a40
1274a58a0
1347739c6
142d19304
151e1c693
hex15170b8

22114488 has 64 divisors (see below), whose sum is σ = 60750720. Its totient is φ = 6652800.

The previous prime is 22114471. The next prime is 22114529. The reversal of 22114488 is 88441122.

It is a super-5 number, since 5×221144885 (a number of 38 digits) contains 55555 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55506 + ... + 55902.

It is an arithmetic number, because the mean of its divisors is an integer number (949230).

Almost surely, 222114488 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 22114488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30375360).

22114488 is an abundant number, since it is smaller than the sum of its proper divisors (38636232).

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

22114488 is a wasteful number, since it uses less digits than its factorization.

22114488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 624 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 22114488 is about 4702.6043848064. The cubic root of 22114488 is about 280.6891527645.

The spelling of 22114488 in words is "twenty-two million, one hundred fourteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 211 264 397 422 633 794 844 1191 1266 1588 1688 2321 2382 2532 3176 4367 4642 4764 5064 6963 8734 9284 9528 13101 13926 17468 18568 26202 27852 34936 52404 55704 83767 104808 167534 251301 335068 502602 670136 921437 1005204 1842874 2010408 2764311 3685748 5528622 7371496 11057244 22114488