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2112442452 = 22322316715277
BaseRepresentation
bin111110111101001…
…0101000001010100
312110012221012021100
41331322111001110
513311241124302
6545340550100
7103230315231
oct17572250124
95405835240
102112442452
1199446730a
124ab552330
13278856363
141607a8788
15c56c3d1c
hex7de95054

2112442452 has 72 divisors (see below), whose sum is σ = 5605681536. Its totient is φ = 669455424.

The previous prime is 2112442441. The next prime is 2112442459. The reversal of 2112442452 is 2542442112.

It is a happy number.

2112442452 is a `hidden beast` number, since 211 + 2 + 442 + 4 + 5 + 2 = 666.

It is a super-2 number, since 2×21124424522 = 8924826226023544608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112442459) 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, 130638 + ... + 145914.

It is an arithmetic number, because the mean of its divisors is an integer number (77856688).

Almost surely, 22112442452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112442452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802840768).

2112442452 is an abundant number, since it is smaller than the sum of its proper divisors (3493239084).

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

2112442452 is a wasteful number, since it uses less digits than its factorization.

2112442452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15477 (or 15472 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 2112442452 is about 45961.3147331536. The cubic root of 2112442452 is about 1283.1033204382.

Adding to 2112442452 its reverse (2542442112), we get a palindrome (4654884564).

The spelling of 2112442452 in words is "two billion, one hundred twelve million, four hundred forty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 167 207 276 334 414 501 668 828 1002 1503 2004 3006 3841 6012 7682 11523 15277 15364 23046 30554 34569 45831 46092 61108 69138 91662 137493 138276 183324 274986 351371 549972 702742 1054113 1405484 2108226 2551259 3162339 4216452 5102518 6324678 7653777 10205036 12649356 15307554 22961331 30615108 45922662 58678957 91845324 117357914 176036871 234715828 352073742 528110613 704147484 1056221226 2112442452