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2285065150944 = 253193223553051
BaseRepresentation
bin100001010000001000011…
…111110010000111100000
322002110011010012221022120
4201100020133302013200
5244414303134312234
64505424444304240
7324043021210422
oct41201037620740
98073133187276
102285065150944
118010aa784a24
1230aa3b842080
131376331a8594
147c8522ca812
153e68e446049
hex214087f21e0

2285065150944 has 96 divisors (see below), whose sum is σ = 6056423783424. Its totient is φ = 754342502400.

The previous prime is 2285065150943. The next prime is 2285065150969. The reversal of 2285065150944 is 4490515605822.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×22850651509442 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2285065150943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3855219 + ... + 4408269.

It is an arithmetic number, because the mean of its divisors is an integer number (63087747744).

Almost surely, 22285065150944 is an apocalyptic number.

2285065150944 is a gapful number since it is divisible by the number (24) 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 2285065150944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028211891712).

2285065150944 is an abundant number, since it is smaller than the sum of its proper divisors (3771358632480).

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

2285065150944 is a wasteful number, since it uses less digits than its factorization.

2285065150944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553480 (or 553472 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 2285065150944 in words is "two trillion, two hundred eighty-five billion, sixty-five million, one hundred fifty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 193 223 386 446 579 669 772 892 1158 1338 1544 1784 2316 2676 3088 3568 4632 5352 6176 7136 9264 10704 18528 21408 43039 86078 129117 172156 258234 344312 516468 553051 688624 1032936 1106102 1377248 1659153 2065872 2212204 3318306 4131744 4424408 6636612 8848816 13273224 17697632 26546448 53092896 106738843 123330373 213477686 246660746 320216529 369991119 426955372 493321492 640433058 739982238 853910744 986642984 1280866116 1479964476 1707821488 1973285968 2561732232 2959928952 3415642976 3946571936 5123464464 5919857904 10246928928 11839715808 23802761989 47605523978 71408285967 95211047956 142816571934 190422095912 285633143868 380844191824 571266287736 761688383648 1142532575472 2285065150944