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2120200348 = 227195776907
BaseRepresentation
bin111111001011111…
…1011000010011100
312110202112100002211
41332113323002130
513320232402343
6550215130204
7103353256060
oct17627730234
95422470084
102120200348
119988859a2
124b2073964
1327a341526
14161827aa0
15c620779d
hex7e5fb09c

2120200348 has 48 divisors (see below), whose sum is σ = 4471962880. Its totient is φ = 859216896.

The previous prime is 2120200337. The next prime is 2120200349. The reversal of 2120200348 is 8430020212.

It is a super-2 number, since 2×21202003482 = 8990499031318642208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120200349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303511 + ... + 310417.

Almost surely, 22120200348 is an apocalyptic number.

2120200348 is a gapful number since it is divisible by the number (28) 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 2120200348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235981440).

2120200348 is an abundant number, since it is smaller than the sum of its proper divisors (2351762532).

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

2120200348 is a wasteful number, since it uses less digits than its factorization.

2120200348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7514 (or 7512 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2120200348 is about 46045.6333217386. The cubic root of 2120200348 is about 1284.6721239509.

The spelling of 2120200348 in words is "two billion, one hundred twenty million, two hundred thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 577 1154 2308 4039 6907 8078 10963 13814 16156 21926 27628 43852 48349 76741 96698 131233 153482 193396 262466 306964 524932 918631 1837262 3674524 3985339 7970678 15941356 27897373 55794746 75721441 111589492 151442882 302885764 530050087 1060100174 2120200348