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465522420 = 2235111937123
BaseRepresentation
bin11011101111110…
…100111011110100
31012102221222201010
4123233310323310
51423133204140
6114105432220
714351606136
oct3357647364
91172858633
10465522420
11219858980
1210ba9b670
13755a306c
1445b7d056
152ad07880
hex1bbf4ef4

465522420 has 96 divisors (see below), whose sum is σ = 1496839680. Its totient is φ = 106911360.

The previous prime is 465522391. The next prime is 465522481. The reversal of 465522420 is 24225564.

It is a happy number.

It is a super-2 number, since 2×4655224202 = 433422247045312800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6022 + ... + 31101.

It is an arithmetic number, because the mean of its divisors is an integer number (15592080).

Almost surely, 2465522420 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 465522420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748419840).

465522420 is an abundant number, since it is smaller than the sum of its proper divisors (1031317260).

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

465522420 is a wasteful number, since it uses less digits than its factorization.

465522420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37165 (or 37163 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 465522420 is about 21575.9685761729. The cubic root of 465522420 is about 775.0211135420.

Adding to 465522420 its reverse (24225564), we get a palindrome (489747984).

The spelling of 465522420 in words is "four hundred sixty-five million, five hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 12540 37123 74246 111369 148492 185615 222738 371230 408353 445476 556845 705337 742460 816706 1113690 1225059 1410674 1633412 2041765 2116011 2227380 2450118 2821348 3526685 4083530 4232022 4900236 6125295 7053370 7758707 8167060 8464044 10580055 12250590 14106740 15517414 21160110 23276121 24501180 31034828 38793535 42320220 46552242 77587070 93104484 116380605 155174140 232761210 465522420