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1225700100 = 2234523892
BaseRepresentation
bin100100100001110…
…1011001100000100
310011102101000110000
41021003223030010
510002234400400
6321343001300
742242164452
oct11103531404
93142330400
101225700100
1157996a699
122a2599230
13166c22241
14b8add9d2
1572915600
hex490eb304

1225700100 has 135 divisors (see below), whose sum is σ = 3983475727. Its totient is φ = 326013120.

The previous prime is 1225700083. The next prime is 1225700111. The reversal of 1225700100 is 10075221.

The square root of 1225700100 is 35010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 203747076 + 1021953024 = 14274^2 + 31968^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3150706 + ... + 3151094.

Almost surely, 21225700100 is an apocalyptic number.

1225700100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1225700100 is the 35010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225700100

1225700100 is an abundant number, since it is smaller than the sum of its proper divisors (2757775627).

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

1225700100 is an equidigital number, since it uses as much as digits as its factorization.

1225700100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The cubic root of 1225700100 is about 1070.1912780004.

Adding to 1225700100 its reverse (10075221), we get a palindrome (1235775321).

The spelling of 1225700100 in words is "one billion, two hundred twenty-five million, seven hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 389 405 450 540 675 778 810 900 1167 1350 1556 1620 1945 2025 2334 2700 3501 3890 4050 4668 5835 7002 7780 8100 9725 10503 11670 14004 17505 19450 21006 23340 29175 31509 35010 38900 42012 52515 58350 63018 70020 87525 105030 116700 126036 151321 157545 175050 210060 262575 302642 315090 350100 453963 525150 605284 630180 756605 787725 907926 1050300 1361889 1513210 1575450 1815852 2269815 2723778 3026420 3150900 3783025 4085667 4539630 5447556 6809445 7566050 8171334 9079260 11349075 12257001 13618890 15132100 16342668 20428335 22698150 24514002 27237780 34047225 40856670 45396300 49028004 61285005 68094450 81713340 102141675 122570010 136188900 204283350 245140020 306425025 408566700 612850050 1225700100