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2053212144 = 24374357571
BaseRepresentation
bin111101001100001…
…1000011111110000
312022002110222120020
41322120120133300
513201110242034
6535423243440
7101611005144
oct17230303760
95262428506
102053212144
11963a91745
12493749580
132694b8839
1415698b224
15c03c4249
hex7a6187f0

2053212144 has 40 divisors (see below), whose sum is σ = 5311362432. Its totient is φ = 683471040.

The previous prime is 2053212137. The next prime is 2053212149. The reversal of 2053212144 is 4412123502.

2053212144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053212149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6879 + ... + 64449.

Almost surely, 22053212144 is an apocalyptic number.

2053212144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2053212144 is an abundant number, since it is smaller than the sum of its proper divisors (3258150288).

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

2053212144 is a wasteful number, since it uses less digits than its factorization.

2053212144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58325 (or 58319 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2053212144 is about 45312.3840026101. The cubic root of 2053212144 is about 1270.9972418204.

Adding to 2053212144 its reverse (4412123502), we get a palindrome (6465335646).

The spelling of 2053212144 in words is "two billion, fifty-three million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 743 1486 2229 2972 4458 5944 8916 11888 17832 35664 57571 115142 172713 230284 345426 460568 690852 921136 1381704 2763408 42775253 85550506 128325759 171101012 256651518 342202024 513303036 684404048 1026606072 2053212144