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2194107552 = 253271383719
BaseRepresentation
bin1000001011000111…
…0110110010100000
312122220121012201200
42002301312302200
513443142420202
61001415201200
7105241415010
oct20261666240
95586535650
102194107552
11a2657552a
12512976200
1328c74a5c0
1416b585c40
15cc955e1c
hex82c76ca0

2194107552 has 144 divisors (see below), whose sum is σ = 7679468160. Its totient is φ = 578658816.

The previous prime is 2194107529. The next prime is 2194107557. The reversal of 2194107552 is 2557014912.

2194107552 is a `hidden beast` number, since 2 + 1 + 94 + 10 + 7 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (2194107557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15652 + ... + 68067.

It is an arithmetic number, because the mean of its divisors is an integer number (53329640).

Almost surely, 22194107552 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 2194107552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3839734080).

2194107552 is an abundant number, since it is smaller than the sum of its proper divisors (5485360608).

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

2194107552 is a wasteful number, since it uses less digits than its factorization.

2194107552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83755 (or 83744 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 2194107552 is about 46841.3017752496. The cubic root of 2194107552 is about 1299.4292468886.

It can be divided in two parts, 2194 and 107552, that added together give a triangular number (109746 = T468).

The spelling of 2194107552 in words is "two billion, one hundred ninety-four million, one hundred seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 26208 83719 167438 251157 334876 502314 586033 669752 753471 1004628 1088347 1172066 1339504 1506942 1758099 2009256 2176694 2344132 2679008 3013884 3265041 3516198 4018512 4353388 4688264 5274297 6027768 6530082 7032396 7618429 8037024 8706776 9376528 9795123 10548594 12055536 13060164 14064792 15236858 17413552 18753056 19590246 21097188 22855287 24111072 26120328 28129584 30473716 34827104 39180492 42194376 45710574 52240656 56259168 60947432 68565861 78360984 84388752 91421148 104481312 121894864 137131722 156721968 168777504 182842296 243789728 274263444 313443936 365684592 548526888 731369184 1097053776 2194107552