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2251010028 = 22319101239409
BaseRepresentation
bin1000011000101011…
…1010111111101100
312210212200011020210
42012022322333230
514102224310103
61011210542420
7106532161311
oct20612727754
95725604223
102251010028
11a55700173
12529a37a10
1329b4816c7
14174d58d08
15d2945e03
hex862bafec

2251010028 has 96 divisors (see below), whose sum is σ = 5620608000. Its totient is φ = 699148800.

The previous prime is 2251009997. The next prime is 2251010029. The reversal of 2251010028 is 8200101522.

It is a happy number.

It is a super-2 number, since 2×22510100282 = 10134092292313121568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2251009986 and 2251010013.

It is not an unprimeable number, because it can be changed into a prime (2251010029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5503488 + ... + 5503896.

It is an arithmetic number, because the mean of its divisors is an integer number (58548000).

Almost surely, 22251010028 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 2251010028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810304000).

2251010028 is an abundant number, since it is smaller than the sum of its proper divisors (3369597972).

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

2251010028 is a wasteful number, since it uses less digits than its factorization.

2251010028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 2251010028 is about 47444.8103379073. The cubic root of 2251010028 is about 1310.5667434899.

It can be divided in two parts, 22 and 51010028, that added together give a triangular number (51010050 = T10100).

The spelling of 2251010028 in words is "two billion, two hundred fifty-one million, ten thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 101 114 202 228 239 303 404 409 478 606 717 818 956 1212 1227 1434 1636 1919 2454 2868 3838 4541 4908 5757 7676 7771 9082 11514 13623 15542 18164 23028 23313 24139 27246 31084 41309 46626 48278 54492 72417 82618 93252 96556 97751 123927 144834 165236 195502 247854 289668 293253 391004 458641 495708 586506 784871 917282 1173012 1375923 1569742 1834564 1857269 2354613 2751846 3139484 3714538 4709226 5503692 5571807 7429076 9418452 9872851 11143614 19745702 22287228 29618553 39491404 59237106 118474212 187584169 375168338 562752507 750336676 1125505014 2251010028