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2025128300 = 22521319163503
BaseRepresentation
bin111100010110101…
…0000000101101100
312020010122011202212
41320231100011230
513121413101200
6532541305552
7101120210066
oct17055200554
95203564685
102025128300
1194a14a958
124862652b8
13263734a90
14152d5a736
15bcbc8035
hex78b5016c

2025128300 has 144 divisors (see below), whose sum is σ = 5022178560. Its totient is φ = 702639360.

The previous prime is 2025128299. The next prime is 2025128309. The reversal of 2025128300 is 38215202.

It is a super-2 number, since 2×20251283002 = 8202289262921780000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2025128309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4025849 + ... + 4026351.

It is an arithmetic number, because the mean of its divisors is an integer number (34876240).

Almost surely, 22025128300 is an apocalyptic number.

2025128300 is a gapful number since it is divisible by the number (20) 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 2025128300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511089280).

2025128300 is an abundant number, since it is smaller than the sum of its proper divisors (2997050260).

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

2025128300 is a wasteful number, since it uses less digits than its factorization.

2025128300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2025128300 is about 45001.4255329762. The cubic root of 2025128300 is about 1265.1757165022.

The spelling of 2025128300 in words is "two billion, twenty-five million, one hundred twenty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 163 190 247 260 325 326 380 475 494 503 650 652 815 950 988 1006 1235 1300 1630 1900 2012 2119 2470 2515 3097 3260 4075 4238 4940 5030 6175 6194 6539 8150 8476 9557 10060 10595 12350 12388 12575 13078 15485 16300 19114 21190 24700 25150 26156 30970 32695 38228 40261 42380 47785 50300 52975 61940 65390 77425 80522 81989 95570 105950 124241 130780 154850 161044 163475 163978 191140 201305 211900 238925 248482 309700 326950 327956 402610 409945 477850 496964 621205 653900 805220 819890 955700 1006525 1065857 1242410 1557791 1639780 2013050 2049725 2131714 2484820 3106025 3115582 4026100 4099450 4263428 5329285 6212050 6231164 7788955 8198900 10658570 12424100 15577910 20251283 21317140 26646425 31155820 38944775 40502566 53292850 77889550 81005132 101256415 106585700 155779100 202512830 405025660 506282075 1012564150 2025128300