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2144538216 = 2332234632797
BaseRepresentation
bin111111111010011…
…0000111001101000
312112110022211101100
41333310300321220
513343000210331
6552444521400
7104100163002
oct17764607150
95473284340
102144538216
11a00599337
124ba250260
132823b3232
14164b61372
15c8413ae6
hex7fd30e68

2144538216 has 96 divisors (see below), whose sum is σ = 6075912960. Its totient is φ = 682045056.

The previous prime is 2144538163. The next prime is 2144538217. The reversal of 2144538216 is 6128354412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2144538217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 765330 + ... + 768126.

It is an arithmetic number, because the mean of its divisors is an integer number (63290760).

Almost surely, 22144538216 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 2144538216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037956480).

2144538216 is an abundant number, since it is smaller than the sum of its proper divisors (3931374744).

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

2144538216 is a wasteful number, since it uses less digits than its factorization.

2144538216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3295 (or 3288 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 2144538216 is about 46309.1590940712. The cubic root of 2144538216 is about 1289.5690357760.

The spelling of 2144538216 in words is "two billion, one hundred forty-four million, five hundred thirty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 463 552 828 926 1389 1656 1852 2778 2797 3704 4167 5556 5594 8334 8391 10649 11112 11188 16668 16782 21298 22376 25173 31947 33336 33564 42596 50346 63894 64331 67128 85192 95841 100692 127788 128662 191682 192993 201384 255576 257324 383364 385986 514648 578979 766728 771972 1157958 1295011 1543944 2315916 2590022 3885033 4631832 5180044 7770066 10360088 11655099 15540132 23310198 29785253 31080264 46620396 59570506 89355759 93240792 119141012 178711518 238282024 268067277 357423036 536134554 714846072 1072269108 2144538216