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2141210088 = 2332197315073
BaseRepresentation
bin111111110100000…
…0100010111101000
312112020001202001100
41333220010113220
513341122210323
6552245321400
7104026662003
oct17750042750
95466052040
102141210088
119a9725916
124b9106260
132817b9424
1416453653a
15c7ea7943
hex7fa045e8

2141210088 has 48 divisors (see below), whose sum is σ = 5802434820. Its totient is φ = 713327616.

The previous prime is 2141210087. The next prime is 2141210089. The reversal of 2141210088 is 8800121412.

2141210088 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2141210087) and next prime (2141210089).

It can be written as a sum of positive squares in 2 ways, for example, as 2086479684 + 54730404 = 45678^2 + 7398^2 .

It is not an unprimeable number, because it can be changed into a prime (2141210087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134520 + ... + 149592.

Almost surely, 22141210088 is an apocalyptic number.

It is an amenable number.

2141210088 is an abundant number, since it is smaller than the sum of its proper divisors (3661224732).

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

2141210088 is a wasteful number, since it uses less digits than its factorization.

2141210088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17058 (or 17051 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 2141210088 is about 46273.2113430654. The cubic root of 2141210088 is about 1288.9015924872.

The spelling of 2141210088 in words is "two billion, one hundred forty-one million, two hundred ten thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1973 3946 5919 7892 11838 15073 15784 17757 23676 30146 35514 45219 47352 60292 71028 90438 120584 135657 142056 180876 271314 361752 542628 1085256 29739029 59478058 89217087 118956116 178434174 237912232 267651261 356868348 535302522 713736696 1070605044 2141210088