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214180464 = 24319234847
BaseRepresentation
bin11001100010000…
…10001001110000
3112221000111100210
430301002021300
5414312233324
633130344120
75210334561
oct1461021160
9487014323
10214180464
11aa998a53
125b88b040
13354b0904
1420634168
1513c0ad29
hexcc42270

214180464 has 40 divisors (see below), whose sum is σ = 582423040. Its totient is φ = 67635648.

The previous prime is 214180429. The next prime is 214180469. The reversal of 214180464 is 464081412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214180469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116512 + ... + 118335.

It is an arithmetic number, because the mean of its divisors is an integer number (14560576).

Almost surely, 2214180464 is an apocalyptic number.

214180464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214180464 is an abundant number, since it is smaller than the sum of its proper divisors (368242576).

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

214180464 is a wasteful number, since it uses less digits than its factorization.

214180464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234877 (or 234871 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 214180464 is about 14634.9056710318. The cubic root of 214180464 is about 598.3104915116.

The spelling of 214180464 in words is "two hundred fourteen million, one hundred eighty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 234847 469694 704541 939388 1409082 1878776 2818164 3757552 4462093 5636328 8924186 11272656 13386279 17848372 26772558 35696744 53545116 71393488 107090232 214180464