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2456125230 = 23513151179233
BaseRepresentation
bin1001001001100101…
…0111111100101110
320100011122002102010
42102121113330232
520012232001410
61043415142050
7114602501646
oct22231277456
96304562363
102456125230
111050467269
12586674926
13301b0a050
141942ad526
15e5960c20
hex92657f2e

2456125230 has 128 divisors (see below), whose sum is σ = 6453457920. Its totient is φ = 594662400.

The previous prime is 2456125229. The next prime is 2456125253. The reversal of 2456125230 is 325216542.

It is a super-2 number, since 2×24561252302 = 12065102290885105800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10541194 + ... + 10541426.

It is an arithmetic number, because the mean of its divisors is an integer number (50417640).

Almost surely, 22456125230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2456125230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226728960).

2456125230 is an abundant number, since it is smaller than the sum of its proper divisors (3997332690).

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

2456125230 is a wasteful number, since it uses less digits than its factorization.

2456125230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2456125230 is about 49559.3102252241. The cubic root of 2456125230 is about 1349.2222735791. Note that the first 4 decimals are identical.

The spelling of 2456125230 in words is "two billion, four hundred fifty-six million, one hundred twenty-five thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 151 179 195 233 302 358 390 453 466 537 699 755 895 906 1074 1165 1398 1510 1790 1963 2265 2327 2330 2685 3029 3495 3926 4530 4654 5370 5889 6058 6981 6990 9087 9815 11635 11778 13962 15145 18174 19630 23270 27029 29445 30290 34905 35183 41707 45435 54058 58890 69810 70366 81087 83414 90870 105549 125121 135145 162174 175915 208535 211098 250242 270290 351377 351830 405435 417070 457379 527745 542191 625605 702754 810870 914758 1054131 1055490 1084382 1251210 1372137 1626573 1756885 2108262 2286895 2710955 2744274 3253146 3513770 4573790 5270655 5421910 6297757 6860685 8132865 10541310 12595514 13721370 16265730 18893271 31488785 37786542 62977570 81870841 94466355 163741682 188932710 245612523 409354205 491225046 818708410 1228062615 2456125230