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214990776 = 23327111319157
BaseRepresentation
bin11001101000001…
…11111110111000
3112222112122220100
430310013332320
5420014201101
633155555400
75220251160
oct1464077670
9488478810
10214990776
111003a1830
125bbbbb60
13357056a0
14207a55a0
1513d1ae86
hexcd07fb8

214990776 has 384 divisors, whose sum is σ = 828172800. Its totient is φ = 48522240.

The previous prime is 214990753. The next prime is 214990799. The reversal of 214990776 is 677099412.

It is an interprime number because it is at equal distance from previous prime (214990753) and next prime (214990799).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1369290 + ... + 1369446.

It is an arithmetic number, because the mean of its divisors is an integer number (2156700).

Almost surely, 2214990776 is an apocalyptic number.

214990776 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214990776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414086400).

214990776 is an abundant number, since it is smaller than the sum of its proper divisors (613182024).

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

214990776 is a wasteful number, since it uses less digits than its factorization.

214990776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 214990776 is about 14662.5637594522. The cubic root of 214990776 is about 599.0640741638.

The spelling of 214990776 in words is "two hundred fourteen million, nine hundred ninety thousand, seven hundred seventy-six".