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455500100 = 22521129109131
BaseRepresentation
bin11011001001100…
…110000101000100
31011202002210200002
4123021212011010
51413102000400
6113110540432
714200454426
oct3311460504
91152083602
10455500100
11214132a70
12108667718
13734a42b3
14446d0816
1529ec7ed5
hex1b266144

455500100 has 144 divisors (see below), whose sum is σ = 1134302400. Its totient is φ = 157248000.

The previous prime is 455500079. The next prime is 455500117. The reversal of 455500100 is 1005554.

It is a super-2 number, since 2×4555001002 = 414960682200020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3477035 + ... + 3477165.

It is an arithmetic number, because the mean of its divisors is an integer number (7877100).

Almost surely, 2455500100 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 455500100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567151200).

455500100 is an abundant number, since it is smaller than the sum of its proper divisors (678802300).

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

455500100 is a wasteful number, since it uses less digits than its factorization.

455500100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 455500100 is about 21342.4483131622. The cubic root of 455500100 is about 769.4188564936.

Adding to 455500100 its reverse (1005554), we get a palindrome (456505654).

The spelling of 455500100 in words is "four hundred fifty-five million, five hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 109 110 116 131 145 218 220 262 275 290 319 436 524 545 550 580 638 655 725 1090 1100 1199 1276 1310 1441 1450 1595 2180 2398 2620 2725 2882 2900 3161 3190 3275 3799 4796 5450 5764 5995 6322 6380 6550 7205 7598 7975 10900 11990 12644 13100 14279 14410 15196 15805 15950 18995 23980 28558 28820 29975 31610 31900 34771 36025 37990 41789 57116 59950 63220 69542 71395 72050 75980 79025 83578 94975 119900 139084 142790 144100 157069 158050 167156 173855 189950 208945 285580 314138 316100 347710 356975 379900 414091 417890 628276 695420 713950 785345 828182 835780 869275 1044725 1427900 1570690 1656364 1738550 2070455 2089450 3141380 3477100 3926725 4140910 4178900 4555001 7853450 8281820 9110002 10352275 15706900 18220004 20704550 22775005 41409100 45550010 91100020 113875025 227750050 455500100