Search a number
-
+
422211414400 = 2752131941067
BaseRepresentation
bin1100010010011011100…
…00101110100110000000
31111100210122021010111121
412021031300232212000
523404142110230100
6521543343522024
742334535544136
oct6111560564600
91440718233447
10422211414400
11153071377826
12699b18b9314
1330a78212bb9
1416614057756
15aeb188851a
hex624dc2e980

422211414400 has 48 divisors (see below), whose sum is σ = 1042994142540. Its totient is φ = 168884564480.

The previous prime is 422211414397. The next prime is 422211414403. The reversal of 422211414400 is 4414112224.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (422211414397) and next prime (422211414403).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422211414403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65967334 + ... + 65973733.

Almost surely, 2422211414400 is an apocalyptic number.

422211414400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422211414400 is an abundant number, since it is smaller than the sum of its proper divisors (620782728140).

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

422211414400 is a wasteful number, since it uses less digits than its factorization.

422211414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131941091 (or 131941074 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 422211414400 its reverse (4414112224), we get a palindrome (426625526624).

The spelling of 422211414400 in words is "four hundred twenty-two billion, two hundred eleven million, four hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 131941067 263882134 527764268 659705335 1055528536 1319410670 2111057072 2638821340 3298526675 4222114144 5277642680 6597053350 8444228288 10555285360 13194106700 16888456576 21110570720 26388213400 42221141440 52776426800 84442282880 105552853600 211105707200 422211414400