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2234909952 = 283211163541
BaseRepresentation
bin1000010100110110…
…0000010100000000
312202202101012002200
42011031200110000
514034114104302
61005433513200
7106245264312
oct20515402400
95682335080
102234909952
11a47603a20
12524572800
13298035432
14172b677b2
15d131581c
hex85360500

2234909952 has 216 divisors, whose sum is σ = 7085795808. Its totient is φ = 671846400.

The previous prime is 2234909951. The next prime is 2234909953. The reversal of 2234909952 is 2599094322.

2234909952 is a `hidden beast` number, since 2 + 23 + 490 + 99 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (2234909951) and next prime (2234909953).

It is a junction number, because it is equal to n+sod(n) for n = 2234909898 and 2234909907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234909951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4130802 + ... + 4131342.

Almost surely, 22234909952 is an apocalyptic number.

2234909952 is a gapful number since it is divisible by the number (22) 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 2234909952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542897904).

2234909952 is an abundant number, since it is smaller than the sum of its proper divisors (4850885856).

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

2234909952 is a wasteful number, since it uses less digits than its factorization.

2234909952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2234909952 is about 47274.8342355634. The cubic root of 2234909952 is about 1307.4347078915.

The spelling of 2234909952 in words is "two billion, two hundred thirty-four million, nine hundred nine thousand, nine hundred fifty-two".