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45352230 = 23571129677
BaseRepresentation
bin1010110100000…
…0010100100110
310011100010120020
42231000110212
543102232410
64300020010
71060326150
oct255002446
9104303506
1045352230
1123666890
1213231606
13951ba51
146047ad0
153eaca70
hex2b40526

45352230 has 128 divisors (see below), whose sum is σ = 140590080. Its totient is φ = 9085440.

The previous prime is 45352213. The next prime is 45352231. The reversal of 45352230 is 3225354.

It is a self number, because there is not a number n which added to its sum of digits gives 45352230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45352231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66652 + ... + 67328.

It is an arithmetic number, because the mean of its divisors is an integer number (1098360).

Almost surely, 245352230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45352230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70295040).

45352230 is an abundant number, since it is smaller than the sum of its proper divisors (95237850).

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

45352230 is a wasteful number, since it uses less digits than its factorization.

45352230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734.

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 45352230 is about 6734.4064326413. The cubic root of 45352230 is about 356.6149525666.

Adding to 45352230 its reverse (3225354), we get a palindrome (48577584).

The spelling of 45352230 in words is "forty-five million, three hundred fifty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 29 30 33 35 42 55 58 66 70 77 87 105 110 145 154 165 174 203 210 231 290 319 330 385 406 435 462 609 638 677 770 870 957 1015 1155 1218 1354 1595 1914 2030 2031 2233 2310 3045 3190 3385 4062 4466 4739 4785 6090 6699 6770 7447 9478 9570 10155 11165 13398 14217 14894 19633 20310 22330 22341 23695 28434 33495 37235 39266 44682 47390 52129 58899 66990 71085 74470 98165 104258 111705 117798 137431 142170 156387 196330 215963 223410 260645 274862 294495 312774 412293 431926 521290 588990 647889 687155 781935 824586 1079815 1295778 1374310 1511741 1563870 2061465 2159630 3023482 3239445 4122930 4535223 6478890 7558705 9070446 15117410 22676115 45352230