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56228267250 = 2325385329297
BaseRepresentation
bin110100010111011101…
…110100010011110010
312101010122101221002200
4310113131310103302
51410123414023000
641455250524030
74030250246211
oct642735642362
9171118357080
1056228267250
1121934433461
12aa92896616
1353c120c16c
142a1599d078
1516e156c500
hexd177744f2

56228267250 has 96 divisors (see below), whose sum is σ = 152224673328. Its totient is φ = 14976115200.

The previous prime is 56228267231. The next prime is 56228267287. The reversal of 56228267250 is 5276282265.

56228267250 is a `hidden beast` number, since 5 + 62 + 282 + 67 + 250 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6640929 + 56221626321 = 2577^2 + 237111^2 .

It is a super-3 number, since 3×562282672503 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 56228267196 and 56228267205.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1904602 + ... + 1933898.

Almost surely, 256228267250 is an apocalyptic number.

56228267250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56228267250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76112336664).

56228267250 is an abundant number, since it is smaller than the sum of its proper divisors (95996406078).

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

56228267250 is a wasteful number, since it uses less digits than its factorization.

56228267250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30173 (or 30160 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 56228267250 in words is "fifty-six billion, two hundred twenty-eight million, two hundred sixty-seven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 750 853 1125 1706 2250 2559 4265 5118 7677 8530 12795 15354 21325 25590 29297 38385 42650 58594 63975 76770 87891 106625 127950 146485 175782 191925 213250 263673 292970 319875 383850 439455 527346 639750 732425 878910 959625 1318365 1464850 1919250 2197275 2636730 3662125 4394550 6591825 7324250 10986375 13183650 21972750 24990341 32959125 49980682 65918250 74971023 124951705 149942046 224913069 249903410 374855115 449826138 624758525 749710230 1124565345 1249517050 1874275575 2249130690 3123792625 3748551150 5622826725 6247585250 9371377875 11245653450 18742755750 28114133625 56228267250