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22200240 = 2435233397
BaseRepresentation
bin101010010101…
…1111110110000
31112202220000010
41110223332300
521140401430
62111454520
7356461506
oct124537660
945686003
1022200240
1111593407
127527440
1347a3a4a
142d3c676
151e37cb0
hex152bfb0

22200240 has 80 divisors (see below), whose sum is σ = 69290208. Its totient is φ = 5879808.

The previous prime is 22200179. The next prime is 22200263. The reversal of 22200240 is 4200222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55722 + ... + 56118.

Almost surely, 222200240 is an apocalyptic number.

22200240 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 22200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34645104).

22200240 is an abundant number, since it is smaller than the sum of its proper divisors (47089968).

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

22200240 is a wasteful number, since it uses less digits than its factorization.

22200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 22200240 is about 4711.7130642687. The cubic root of 22200240 is about 281.0514885619.

Adding to 22200240 its reverse (4200222), we get a palindrome (26400462).

The spelling of 22200240 in words is "twenty-two million, two hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 233 240 397 466 699 794 932 1165 1191 1398 1588 1864 1985 2330 2382 2796 3176 3495 3728 3970 4660 4764 5592 5955 6352 6990 7940 9320 9528 11184 11910 13980 15880 18640 19056 23820 27960 31760 47640 55920 92501 95280 185002 277503 370004 462505 555006 740008 925010 1110012 1387515 1480016 1850020 2220024 2775030 3700040 4440048 5550060 7400080 11100120 22200240