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22121148 = 22372172213
BaseRepresentation
bin101010001100…
…0101010111100
31112121212111210
41110120222330
521130334043
62110044420
7356012100
oct124305274
945555453
1022121148
1111539a45
1274a9710
134776a4a
142d1b900
151e1e633
hex1518abc

22121148 has 72 divisors (see below), whose sum is σ = 63603792. Its totient is φ = 5945856.

The previous prime is 22121137. The next prime is 22121159. The reversal of 22121148 is 84112122.

It is an interprime number because it is at equal distance from previous prime (22121137) and next prime (22121159).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8890 + ... + 11102.

It is an arithmetic number, because the mean of its divisors is an integer number (883386).

Almost surely, 222121148 is an apocalyptic number.

22121148 is a gapful number since it is divisible by the number (28) 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 22121148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31801896).

22121148 is an abundant number, since it is smaller than the sum of its proper divisors (41482644).

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

22121148 is a wasteful number, since it uses less digits than its factorization.

22121148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2242 counting only the distinct ones).

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

The square root of 22121148 is about 4703.3124497528. The cubic root of 22121148 is about 280.7173273881.

It can be divided in two parts, 2212114 and 8, that added together give a palindrome (2212122).

The spelling of 22121148 in words is "twenty-two million, one hundred twenty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 476 588 714 833 1428 1666 2213 2499 3332 4426 4998 6639 8852 9996 13278 15491 26556 30982 37621 46473 61964 75242 92946 108437 112863 150484 185892 216874 225726 263347 325311 433748 451452 526694 650622 790041 1053388 1301244 1580082 1843429 3160164 3686858 5530287 7373716 11060574 22121148