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2250545024 = 277131011913
BaseRepresentation
bin1000011000100100…
…1001011110000000
312210211210112101102
42012021021132000
514102114420044
61011152553532
7106525213520
oct20611113600
95724715342
102250545024
11a55412872
125298528a8
1329b34ab60
14174c77680
15d28a324e
hex86249780

2250545024 has 128 divisors (see below), whose sum is σ = 5575711680. Its totient is φ = 881049600.

The previous prime is 2250544993. The next prime is 2250545057. The reversal of 2250545024 is 4205450522.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1175492 + ... + 1177404.

Almost surely, 22250545024 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 2250545024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787855840).

2250545024 is an abundant number, since it is smaller than the sum of its proper divisors (3325166656).

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

2250545024 is a wasteful number, since it uses less digits than its factorization.

2250545024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 29.

The square root of 2250545024 is about 47439.9096120555. The cubic root of 2250545024 is about 1310.4764935223.

Adding to 2250545024 its reverse (4205450522), we get a palindrome (6455995546).

The spelling of 2250545024 in words is "two billion, two hundred fifty million, five hundred forty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 101 104 112 128 182 202 208 224 364 404 416 448 707 728 808 832 896 1313 1414 1456 1616 1664 1913 2626 2828 2912 3232 3826 5252 5656 5824 6464 7652 9191 10504 11312 11648 12928 13391 15304 18382 21008 22624 24869 26782 30608 36764 42016 45248 49738 53564 61216 73528 84032 90496 99476 107128 122432 147056 168064 174083 193213 198952 214256 244864 294112 348166 386426 397904 428512 588224 696332 772852 795808 857024 1176448 1352491 1392664 1545704 1591616 1714048 2511769 2704982 2785328 3091408 3183232 5023538 5409964 5570656 6182816 10047076 10819928 11141312 12365632 17582383 20094152 21639856 22282624 24731264 35164766 40188304 43279712 70329532 80376608 86559424 140659064 160753216 173118848 281318128 321506432 562636256 1125272512 2250545024