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2234862900 = 223452377457
BaseRepresentation
bin1000010100110101…
…0100110100110100
312202202021210120000
42011031110310310
514034111103100
61005432511300
7106245010164
oct20515246464
95682253500
102234862900
11a47581636
1252454b530
13298019baa
14172b545a4
15d1306900
hex85354d34

2234862900 has 180 divisors, whose sum is σ = 7441338828. Its totient is φ = 579778560.

The previous prime is 2234862853. The next prime is 2234862907. The reversal of 2234862900 is 92684322.

2234862900 is a `hidden beast` number, since 2 + 23 + 4 + 8 + 629 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 599076 + 2234263824 = 774^2 + 47268^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×22348629002 = 9989224363592820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234862907) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 295972 + ... + 303428.

Almost surely, 22234862900 is an apocalyptic number.

2234862900 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 2234862900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720669414).

2234862900 is an abundant number, since it is smaller than the sum of its proper divisors (5206475928).

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

2234862900 is a wasteful number, since it uses less digits than its factorization.

2234862900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7520 (or 7504 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2234862900 is about 47274.3365897397. The cubic root of 2234862900 is about 1307.4255326002.

The spelling of 2234862900 in words is "two billion, two hundred thirty-four million, eight hundred sixty-two thousand, nine hundred".