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2252130040 = 2351912232423
BaseRepresentation
bin1000011000111100…
…1100011011111000
312210221210001121201
42012033030123320
514103021130130
61011250543544
7106544534536
oct20617143370
95727701551
102252130040
11a562a56a6
1252a297bb4
1329b784434
1417516b156
15d2ab7bca
hex863cc6f8

2252130040 has 64 divisors (see below), whose sum is σ = 5340556800. Its totient is φ = 852388992.

The previous prime is 2252130019. The next prime is 2252130043. The reversal of 2252130040 is 400312522.

2252130040 is digitally balanced in base 2, 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 (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252130043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 928269 + ... + 930691.

It is an arithmetic number, because the mean of its divisors is an integer number (83446200).

Almost surely, 22252130040 is an apocalyptic number.

2252130040 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 2252130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670278400).

2252130040 is an abundant number, since it is smaller than the sum of its proper divisors (3088426760).

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

2252130040 is a wasteful number, since it uses less digits than its factorization.

2252130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2252130040 is about 47456.6121841836. The cubic root of 2252130040 is about 1310.7840692060.

Adding to 2252130040 its reverse (400312522), we get a palindrome (2652442562).

The spelling of 2252130040 in words is "two billion, two hundred fifty-two million, one hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1223 2423 2446 4846 4892 6115 9692 9784 12115 12230 19384 23237 24230 24460 46037 46474 48460 48920 92074 92948 96920 116185 184148 185896 230185 232370 368296 460370 464740 920740 929480 1841480 2963329 5926658 11853316 14816645 23706632 29633290 56303251 59266580 112606502 118533160 225213004 281516255 450426008 563032510 1126065020 2252130040