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2250746916 = 22311192149317
BaseRepresentation
bin1000011000100111…
…1010110000100100
312210212011210022220
42012021322300210
514102142400131
61011201152340
7106530014235
oct20611726044
95725153286
102250746916
11a55540520
1252992b6b0
1329b3bba12
14174ccb08c
15d28e2e96
hex8627ac24

2250746916 has 144 divisors (see below), whose sum is σ = 6106363200. Its totient is φ = 639786240.

The previous prime is 2250746891. The next prime is 2250746929. The reversal of 2250746916 is 6196470522.

It is a super-2 number, since 2×22507469162 = 10131723359767022112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7099990 + ... + 7100306.

It is an arithmetic number, because the mean of its divisors is an integer number (42405300).

Almost surely, 22250746916 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 2250746916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053181600).

2250746916 is an abundant number, since it is smaller than the sum of its proper divisors (3855616284).

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

2250746916 is a wasteful number, since it uses less digits than its factorization.

2250746916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 2250746916 is about 47442.0374351692. The cubic root of 2250746916 is about 1310.5156791131.

The spelling of 2250746916 in words is "two billion, two hundred fifty million, seven hundred forty-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 149 209 228 298 317 361 418 447 596 627 634 722 836 894 951 1083 1254 1268 1444 1639 1788 1902 2166 2508 2831 3278 3487 3804 3971 4332 4917 5662 6023 6556 6974 7942 8493 9834 10461 11324 11913 12046 13948 15884 16986 18069 19668 20922 23826 24092 31141 33972 36138 41844 47233 47652 53789 62282 66253 72276 93423 94466 107578 114437 124564 132506 141699 161367 186846 188932 198759 215156 228874 265012 283398 322734 343311 373692 397518 457748 519563 566796 591679 645468 686622 795036 897427 1039126 1183358 1258807 1373244 1558689 1775037 1794854 2078252 2366716 2517614 2692281 3117378 3550074 3589708 3776421 5035228 5384562 6234756 7100148 7552842 9871697 10769124 15105684 17051113 19743394 29615091 34102226 39486788 51153339 59230182 68204452 102306678 118460364 187562243 204613356 375124486 562686729 750248972 1125373458 2250746916