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22098240 = 263257673
BaseRepresentation
bin101010001001…
…1000101000000
31112120201002100
41110103011000
521124120430
62105350400
7355555233
oct124230500
945521070
1022098240
111152380a
127498400
1347694a8
142d1341a
151e17960
hex1513140

22098240 has 84 divisors (see below), whose sum is σ = 76018644. Its totient is φ = 5892096.

The previous prime is 22098233. The next prime is 22098277. The reversal of 22098240 is 4289022.

It can be written as a sum of positive squares in 2 ways, for example, as 10969344 + 11128896 = 3312^2 + 3336^2 .

It is a super-2 number, since 2×220982402 = 976664422195200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 957 + ... + 6716.

Almost surely, 222098240 is an apocalyptic number.

22098240 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 22098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38009322).

22098240 is an abundant number, since it is smaller than the sum of its proper divisors (53920404).

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

22098240 is a wasteful number, since it uses less digits than its factorization.

22098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7696 (or 7683 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22098240 is about 4700.8765140131. The cubic root of 22098240 is about 280.6203930937.

The spelling of 22098240 in words is "twenty-two million, ninety-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 7673 15346 23019 30692 38365 46038 61384 69057 76730 92076 115095 122768 138114 153460 184152 230190 245536 276228 306920 345285 368304 460380 491072 552456 613840 690570 736608 920760 1104912 1227680 1381140 1473216 1841520 2209824 2455360 2762280 3683040 4419648 5524560 7366080 11049120 22098240