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214655229481 = 721145472
BaseRepresentation
bin1100011111101001110…
…0101101111000101001
3202112001200200110221111
43013322130231320221
512004103214320411
6242340010310321
721336233226400
oct3077234557051
9675050613844
10214655229481
1183042310000
12357277283a1
131731b5c33b4
14a5645da637
1558b4d84721
hex31fa72de29

214655229481 has 45 divisors (see below), whose sum is σ = 275172429645. Its totient is φ = 166958031240.

The previous prime is 214655229431. The next prime is 214655229499. The reversal of 214655229481 is 184922556412.

The square root of 214655229481 is 463309.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 214655229481 - 27 = 214655229353 is a prime.

It is a super-2 number, since 2×2146552294812 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

Its product of digits (1382400) is a multiple of the sum of its prime factors (1152).

It is not an unprimeable number, because it can be changed into a prime (214655229431) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 392422450 + ... + 392422996.

It is an arithmetic number, because the mean of its divisors is an integer number (6114942881).

Almost surely, 2214655229481 is an apocalyptic number.

214655229481 is the 463309-th square number.

214655229481 is the 231655-th centered octagonal number.

It is an amenable number.

214655229481 is a deficient number, since it is larger than the sum of its proper divisors (60517200164).

214655229481 is an frugal number, since it uses more digits than its factorization.

214655229481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 565 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 49.

Multiplying 214655229481 by its sum of digits (49), we get a square (10518106244569 = 32431632).

214655229481 divided by its sum of digits (49) gives a square (4380718969 = 661872).

The spelling of 214655229481 in words is "two hundred fourteen billion, six hundred fifty-five million, two hundred twenty-nine thousand, four hundred eighty-one".

Divisors: 1 7 11 49 77 121 539 547 847 1331 3829 5929 6017 9317 14641 26803 42119 65219 66187 102487 294833 299209 463309 717409 728057 2094463 3243163 3291299 5096399 8008627 14661241 23039093 35674793 36204289 56060389 161273651 253430023 392422723 398247179 1774010161 2787730253 4380718969 19514111771 30665032783 214655229481