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1223830100 = 225289199691
BaseRepresentation
bin100100011110010…
…0010101001010100
310011021212000021202
41020330202221110
510001300030400
6321234532032
742220245533
oct11074425124
93137760252
101223830100
11578902739
122a1a37018
1316671902c
14b877431a
15726964d5
hex48f22a54

1223830100 has 72 divisors (see below), whose sum is σ = 2702952000. Its totient is φ = 480902400.

The previous prime is 1223830099. The next prime is 1223830117. The reversal of 1223830100 is 10383221.

It is a super-2 number, since 2×12238301002 = 2995520227332020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1770755 + ... + 1771445.

It is an arithmetic number, because the mean of its divisors is an integer number (37541000).

Almost surely, 21223830100 is an apocalyptic number.

1223830100 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 1223830100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351476000).

1223830100 is an abundant number, since it is smaller than the sum of its proper divisors (1479121900).

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

1223830100 is a wasteful number, since it uses less digits than its factorization.

1223830100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1223830100 is about 34983.2831506707. The cubic root of 1223830100 is about 1069.6467521144.

The spelling of 1223830100 in words is "one billion, two hundred twenty-three million, eight hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 199 356 398 445 691 796 890 995 1382 1780 1990 2225 2764 3455 3980 4450 4975 6910 8900 9950 13820 17275 17711 19900 34550 35422 61499 69100 70844 88555 122998 137509 177110 245996 275018 307495 354220 442775 550036 614990 687545 885550 1229980 1375090 1537475 1771100 2750180 3074950 3437725 6149900 6875450 12238301 13750900 24476602 48953204 61191505 122383010 244766020 305957525 611915050 1223830100