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1223055880 = 23543799001
BaseRepresentation
bin100100011100110…
…0101101000001000
310011020101200020221
41020321211220020
510001100242010
6321210155424
742210542404
oct11071455010
93136350227
101223055880
11578423a92
122a1722b74
13166507807
14b8612104
1572591dda
hex48e65a08

1223055880 has 64 divisors (see below), whose sum is σ = 2851833600. Its totient is φ = 471744000.

The previous prime is 1223055853. The next prime is 1223055881. The reversal of 1223055880 is 885503221.

It is not an unprimeable number, because it can be changed into a prime (1223055881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131380 + ... + 140380.

It is an arithmetic number, because the mean of its divisors is an integer number (44559900).

Almost surely, 21223055880 is an apocalyptic number.

1223055880 is a gapful number since it is divisible by the number (10) 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 1223055880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425916800).

1223055880 is an abundant number, since it is smaller than the sum of its proper divisors (1628777720).

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

1223055880 is a wasteful number, since it uses less digits than its factorization.

1223055880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9134 (or 9130 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 1223055880 is about 34972.2158291407. The cubic root of 1223055880 is about 1069.4211443815.

The spelling of 1223055880 in words is "one billion, two hundred twenty-three million, fifty-five thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 43 79 86 158 172 215 316 344 395 430 632 790 860 1580 1720 3160 3397 6794 9001 13588 16985 18002 27176 33970 36004 45005 67940 72008 90010 135880 180020 360040 387043 711079 774086 1422158 1548172 1935215 2844316 3096344 3555395 3870430 5688632 7110790 7740860 14221580 15481720 28443160 30576397 61152794 122305588 152881985 244611176 305763970 611527940 1223055880