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2252114940 = 223537535249
BaseRepresentation
bin1000011000111100…
…1000101111111100
312210221202021220110
42012033020233330
514103020134230
61011250350020
7106544442525
oct20617105774
95727667813
102252114940
11a56295319
1252a28b310
1329b77a5ba
1417516584c
15d2ab34b0
hex863c8bfc

2252114940 has 24 divisors (see below), whose sum is σ = 6305922000. Its totient is φ = 600563968.

The previous prime is 2252114923. The next prime is 2252114947. The reversal of 2252114940 is 494112522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2252114898 and 2252114907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252114947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18767565 + ... + 18767684.

It is an arithmetic number, because the mean of its divisors is an integer number (262746750).

Almost surely, 22252114940 is an apocalyptic number.

2252114940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252114940 is an abundant number, since it is smaller than the sum of its proper divisors (4053807060).

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

2252114940 is a wasteful number, since it uses less digits than its factorization.

2252114940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37535261 (or 37535259 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2252114940 is about 47456.4530912288. The cubic root of 2252114940 is about 1310.7811397003.

The spelling of 2252114940 in words is "two billion, two hundred fifty-two million, one hundred fourteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 37535249 75070498 112605747 150140996 187676245 225211494 375352490 450422988 563028735 750704980 1126057470 2252114940