Search a number
-
+
227354471424 = 2103253465463
BaseRepresentation
bin1101001110111101100…
…0011110110000000000
3210201211201112210220200
43103233120132300000
512211110221041144
6252240055205200
722266025056363
oct3235730366000
9721751483820
10227354471424
1188469743483
1238090676800
1318593590242
14b00b0360da
155da9bc7c69
hex34ef61ec00

227354471424 has 132 divisors (see below), whose sum is σ = 668868975216. Its totient is φ = 74354761728.

The previous prime is 227354471423. The next prime is 227354471441. The reversal of 227354471424 is 424174453722.

227354471424 is a `hidden beast` number, since 2 + 2 + 73 + 544 + 7 + 14 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 227354471424.

It is not an unprimeable number, because it can be changed into a prime (227354471423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255717 + ... + 721179.

Almost surely, 2227354471424 is an apocalyptic number.

227354471424 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 227354471424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334434487608).

227354471424 is an abundant number, since it is smaller than the sum of its proper divisors (441514503792).

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

227354471424 is a wasteful number, since it uses less digits than its factorization.

227354471424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465542 (or 465521 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 45.

The spelling of 227354471424 in words is "two hundred twenty-seven billion, three hundred fifty-four million, four hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 384 424 477 512 576 636 768 848 954 1024 1152 1272 1536 1696 1908 2304 2544 3072 3392 3816 4608 5088 6784 7632 9216 10176 13568 15264 20352 27136 30528 40704 54272 61056 81408 122112 162816 244224 465463 488448 930926 1396389 1861852 2792778 3723704 4189167 5585556 7447408 8378334 11171112 14894816 16756668 22342224 24669539 29789632 33513336 44684448 49339078 59579264 67026672 74008617 89368896 98678156 119158528 134053344 148017234 178737792 197356312 222025851 238317056 268106688 296034468 357475584 394712624 444051702 476634112 536213376 592068936 714951168 789425248 888103404 1072426752 1184137872 1429902336 1578850496 1776206808 2144853504 2368275744 3157700992 3552413616 4289707008 4736551488 6315401984 7104827232 9473102976 12630803968 14209654464 18946205952 25261607936 28419308928 37892411904 56838617856 75784823808 113677235712 227354471424