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214278464 = 2641127643
BaseRepresentation
bin11001100010110…
…10000101000000
3112221012110210102
430301122011000
5414323402324
633132421532
75211223361
oct1461320500
9487173712
10214278464
11aaa55644
125b9178a8
13355163ba
142065bb68
1513c29dae
hexcc5a140

214278464 has 56 divisors (see below), whose sum is σ = 439692288. Its totient is φ = 103541760.

The previous prime is 214278451. The next prime is 214278487. The reversal of 214278464 is 464872412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 332927 + ... + 333569.

It is an arithmetic number, because the mean of its divisors is an integer number (7851648).

Almost surely, 2214278464 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 214278464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219846144).

214278464 is an abundant number, since it is smaller than the sum of its proper divisors (225413824).

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

214278464 is a wasteful number, since it uses less digits than its factorization.

214278464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 813 counting only the distinct ones).

The product of its digits is 86016, while the sum is 38.

The square root of 214278464 is about 14638.2534477307. The cubic root of 214278464 is about 598.4017315286.

The spelling of 214278464 in words is "two hundred fourteen million, two hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 127 164 254 328 508 643 656 1016 1286 1312 2032 2572 2624 4064 5144 5207 8128 10288 10414 20576 20828 26363 41152 41656 52726 81661 83312 105452 163322 166624 210904 326644 333248 421808 653288 843616 1306576 1687232 2613152 3348101 5226304 6696202 13392404 26784808 53569616 107139232 214278464