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1223142400 = 2105247779
BaseRepresentation
bin100100011100111…
…1010110000000000
310011020120001221101
41020321322300000
510001111024100
6321212104144
742211352554
oct11071726000
93136501841
101223142400
11578482a97
122a1765054
13166537ccc
14b8635864
15725ac86a
hex48e7ac00

1223142400 has 66 divisors (see below), whose sum is σ = 3031975460. Its totient is φ = 489246720.

The previous prime is 1223142379. The next prime is 1223142409. The reversal of 1223142400 is 42413221.

It is not an unprimeable number, because it can be changed into a prime (1223142409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1711 + ... + 49489.

Almost surely, 21223142400 is an apocalyptic number.

1223142400 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 1223142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515987730).

1223142400 is an abundant number, since it is smaller than the sum of its proper divisors (1808833060).

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

1223142400 is an equidigital number, since it uses as much as digits as its factorization.

1223142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47809 (or 47786 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1223142400 is about 34973.4527892229. The cubic root of 1223142400 is about 1069.4463610368.

Adding to 1223142400 its reverse (42413221), we get a palindrome (1265555621).

The spelling of 1223142400 in words is "one billion, two hundred twenty-three million, one hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2560 3200 5120 6400 12800 25600 47779 95558 191116 238895 382232 477790 764464 955580 1194475 1528928 1911160 2388950 3057856 3822320 4777900 6115712 7644640 9555800 12231424 15289280 19111600 24462848 30578560 38223200 48925696 61157120 76446400 122314240 152892800 244628480 305785600 611571200 1223142400