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122218680 = 23351018489
BaseRepresentation
bin1110100100011…
…10100010111000
322111222100111210
413102032202320
5222241444210
620043323120
73012561453
oct722164270
9274870453
10122218680
1162a97781
1234b204a0
131c422a5c
141233649a
15aae2e20
hex748e8b8

122218680 has 32 divisors (see below), whose sum is σ = 366656400. Its totient is φ = 32591616.

The previous prime is 122218651. The next prime is 122218687. The reversal of 122218680 is 86812221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122218687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 509125 + ... + 509364.

Almost surely, 2122218680 is an apocalyptic number.

122218680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122218680 is an abundant number, since it is smaller than the sum of its proper divisors (244437720).

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

122218680 is a wasteful number, since it uses less digits than its factorization.

122218680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018503 (or 1018499 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 122218680 is about 11055.2557636628. The cubic root of 122218680 is about 496.2637233503.

It can be divided in two parts, 1222186 and 80, that added together give a triangular number (1222266 = T1563).

The spelling of 122218680 in words is "one hundred twenty-two million, two hundred eighteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1018489 2036978 3055467 4073956 5092445 6110934 8147912 10184890 12221868 15277335 20369780 24443736 30554670 40739560 61109340 122218680