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2264150440552 = 2372112133671897
BaseRepresentation
bin100000111100101001111…
…000011111101001101000
322000110011112111120022011
4200330221320133221220
5244043440003044202
64452045241405304
7322402521126400
oct40745170375150
98013145446264
102264150440552
117a3247996500
12306983499834
1313567c1566c0
147b82a739800
153dd68244bd7
hex20f29e1fa68

2264150440552 has 144 divisors (see below), whose sum is σ = 5845698334980. Its totient is φ = 814279656960.

The previous prime is 2264150440511. The next prime is 2264150440577. The reversal of 2264150440552 is 2550440514622.

2264150440552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2189766605796 + 74383834756 = 1479786^2 + 272734^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1219333 + ... + 2452564.

Almost surely, 22264150440552 is an apocalyptic number.

2264150440552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2264150440552 is an abundant number, since it is smaller than the sum of its proper divisors (3581547894428).

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

2264150440552 is a wasteful number, since it uses less digits than its factorization.

2264150440552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671952 (or 3671930 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

The spelling of 2264150440552 in words is "two trillion, two hundred sixty-four billion, one hundred fifty million, four hundred forty thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 49 52 56 77 88 91 98 104 121 143 154 182 196 242 286 308 364 392 484 539 572 616 637 728 847 968 1001 1078 1144 1274 1573 1694 2002 2156 2548 3146 3388 4004 4312 5096 5929 6292 6776 7007 8008 11011 11858 12584 14014 22022 23716 28028 44044 47432 56056 77077 88088 154154 308308 616616 3671897 7343794 14687588 25703279 29375176 40390867 47734661 51406558 80781734 95469322 102813116 161563468 179922953 190938644 205626232 282736069 323126936 334142627 359845906 381877288 444299537 525081271 565472138 668285254 719691812 888599074 1050162542 1130944276 1336570508 1439383624 1777198148 1979152483 2100325084 2261888552 2338998389 2673141016 3110096759 3554396296 3675568897 3958304966 4200650168 4677996778 5775893981 6220193518 7351137794 7916609932 9355993556 11551787962 12440387036 14702275588 15833219864 18711987112 21770677313 23103575924 24880774072 25728982279 29404551176 40431257867 43541354626 46207151848 51457964558 80862515734 87082709252 102915929116 161725031468 174165418504 205831858232 283018805069 323450062936 566037610138 1132075220276 2264150440552