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2252000544 = 25379296941
BaseRepresentation
bin1000011000111010…
…1100110100100000
312210221112110222120
42012032230310200
514103003004134
61011244104240
7106543455153
oct20616546440
95727473876
102252000544
11a56217382
1252a235080
1329b73a501
14175135c9a
15d2a8e649
hex863acd20

2252000544 has 48 divisors (see below), whose sum is σ = 5986350720. Its totient is φ = 741162240.

The previous prime is 2252000519. The next prime is 2252000567. The reversal of 2252000544 is 4450002522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140887 + ... + 156054.

It is an arithmetic number, because the mean of its divisors is an integer number (124715640).

Almost surely, 22252000544 is an apocalyptic number.

2252000544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2252000544 is an abundant number, since it is smaller than the sum of its proper divisors (3734350176).

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

2252000544 is a wasteful number, since it uses less digits than its factorization.

2252000544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297033 (or 297025 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 2252000544 is about 47455.2478025350. The cubic root of 2252000544 is about 1310.7589456498.

The spelling of 2252000544 in words is "two billion, two hundred fifty-two million, five hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7584 296941 593882 890823 1187764 1781646 2375528 3563292 4751056 7126584 9502112 14253168 23458339 28506336 46916678 70375017 93833356 140750034 187666712 281500068 375333424 563000136 750666848 1126000272 2252000544