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214277099520 = 21235112193741
BaseRepresentation
bin1100011110001111101…
…0010001000000000000
3202111002100011111011010
43013203322101000000
512002314414141040
6242234301520520
721323662202601
oct3074372210000
9674070144133
10214277099520
1182968922400
1235640b73140
131728b16b463
14a52a2c9da8
155891a90e80
hex31e3e91000

214277099520 has 1248 divisors, whose sum is σ = 834569850240. Its totient is φ = 46714060800.

The previous prime is 214277099461. The next prime is 214277099537. The reversal of 214277099520 is 25990772412.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 214277099520.

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, 5226270700 + ... + 5226270740.

Almost surely, 2214277099520 is an apocalyptic number.

214277099520 is a gapful number since it is divisible by the number (20) 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 214277099520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417284925120).

214277099520 is an abundant number, since it is smaller than the sum of its proper divisors (620292750720).

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

214277099520 is a wasteful number, since it uses less digits than its factorization.

214277099520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 214277099520 in words is "two hundred fourteen billion, two hundred seventy-seven million, ninety-nine thousand, five hundred twenty".