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2500224896 = 271319312551
BaseRepresentation
bin1001010100000110…
…0110011110000000
320110020121120210002
42111001212132000
520110024144041
61052032255132
7115646363261
oct22501463600
96406546702
102500224896
111073347a74
125993a14a8
1330acaa920
1419a0ac968
15e977259b
hex95066780

2500224896 has 128 divisors (see below), whose sum is σ = 5830809600. Its totient is φ = 1057536000.

The previous prime is 2500224893. The next prime is 2500224919. The reversal of 2500224896 is 6984220052.

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

It is a super-2 number, since 2×25002248962 = 12502249061156421632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2500224893) 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, 978821 + ... + 981371.

It is an arithmetic number, because the mean of its divisors is an integer number (45553200).

Almost surely, 22500224896 is an apocalyptic number.

2500224896 is a gapful number since it is divisible by the number (26) 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 2500224896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915404800).

2500224896 is an abundant number, since it is smaller than the sum of its proper divisors (3330584704).

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

2500224896 is a wasteful number, since it uses less digits than its factorization.

2500224896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 2500224896 is about 50002.2489094241. The cubic root of 2500224896 is about 1357.2495045214.

The spelling of 2500224896 in words is "two billion, five hundred million, two hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 19 26 31 32 38 52 62 64 76 104 124 128 152 208 247 248 304 403 416 494 496 589 608 806 832 988 992 1178 1216 1612 1664 1976 1984 2356 2432 2551 3224 3952 3968 4712 5102 6448 7657 7904 9424 10204 12896 15314 15808 18848 20408 25792 30628 31616 33163 37696 40816 48469 51584 61256 66326 75392 79081 81632 96938 122512 132652 158162 163264 193876 245024 265304 316324 326528 387752 490048 530608 630097 632648 775504 980096 1028053 1061216 1260194 1265296 1502539 1551008 2056106 2122432 2520388 2530592 3005078 3102016 4112212 4244864 5040776 5061184 6010156 6204032 8224424 10081552 10122368 12020312 16448848 19533007 20163104 24040624 32897696 39066014 40326208 48081248 65795392 78132028 80652416 96162496 131590784 156264056 192324992 312528112 625056224 1250112448 2500224896