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1220003200 = 27521329327
BaseRepresentation
bin100100010110111…
…1100010110000000
310011000122120202201
41020231330112000
54444310100300
6321020522544
742142566433
oct11055742600
93130576681
101220003200
11576729509
122a06b0454
131659a91b0
14b805981a
157218c66a
hex48b7c580

1220003200 has 96 divisors (see below), whose sum is σ = 3245729760. Its totient is φ = 450447360.

The previous prime is 1220003177. The next prime is 1220003203. The reversal of 1220003200 is 23000221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220003203) 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 11 ways as a sum of consecutive naturals, for example, 26937 + ... + 56263.

It is an arithmetic number, because the mean of its divisors is an integer number (33809685).

Almost surely, 21220003200 is an apocalyptic number.

1220003200 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 1220003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622864880).

1220003200 is an abundant number, since it is smaller than the sum of its proper divisors (2025726560).

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

1220003200 is a wasteful number, since it uses less digits than its factorization.

1220003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29364 (or 29347 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1220003200 is about 34928.5442009827. The cubic root of 1220003200 is about 1068.5306643817.

Adding to 1220003200 its reverse (23000221), we get a palindrome (1243003421).

The spelling of 1220003200 in words is "one billion, two hundred twenty million, three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 260 320 325 400 416 520 640 650 800 832 1040 1300 1600 1664 2080 2600 3200 4160 5200 8320 10400 20800 29327 41600 58654 117308 146635 234616 293270 381251 469232 586540 733175 762502 938464 1173080 1466350 1525004 1876928 1906255 2346160 2932700 3050008 3753856 3812510 4692320 5865400 6100016 7625020 9384640 9531275 11730800 12200032 15250040 18769280 19062550 23461600 24400064 30500080 38125100 46923200 48800128 61000160 76250200 93846400 122000320 152500400 244000640 305000800 610001600 1220003200