[go: up one dir, main page]

Search a number
-
+
22878240 = 2535711619
BaseRepresentation
bin101011101000…
…1100000100000
31121001100001020
41113101200200
521324100430
62134205440
7365314260
oct127214040
947040036
1022878240
1111a06840
1277b3880
134980528
1430777a0
15201db10
hex15d1820

22878240 has 192 divisors, whose sum is σ = 89994240. Its totient is φ = 4746240.

The previous prime is 22878227. The next prime is 22878263. The reversal of 22878240 is 4287822.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36651 + ... + 37269.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 222878240 is an apocalyptic number.

22878240 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 22878240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997120).

22878240 is an abundant number, since it is smaller than the sum of its proper divisors (67116000).

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

22878240 is a wasteful number, since it uses less digits than its factorization.

22878240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 22878240 is about 4783.1203204603. The cubic root of 22878240 is about 283.8839703233.

It can be divided in two parts, 228782 and 40, that added together give a palindrome (228822).

The spelling of 22878240 in words is "twenty-two million, eight hundred seventy-eight thousand, two hundred forty".