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1222900900 = 22521322692
BaseRepresentation
bin100100011100011…
…1111110010100100
310011020002210122221
41020320333302210
510001030312100
6321203002124
742206325514
oct11070776244
93136083587
101222900900
11578328601
122a1669344
13166482100
14b85b1844
157256101a
hex48e3fca4

1222900900 has 81 divisors (see below), whose sum is σ = 2884249641. Its totient is φ = 449854080.

The previous prime is 1222900859. The next prime is 1222900909. The reversal of 1222900900 is 90092221.

The square root of 1222900900 is 34970.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1133938276 + 88962624 = 33674^2 + 9432^2 .

It is a super-2 number, since 2×12229009002 = 2990973222441620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1222900909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4545966 + ... + 4546234.

Almost surely, 21222900900 is an apocalyptic number.

1222900900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1222900900 is the 34970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222900900

1222900900 is an abundant number, since it is smaller than the sum of its proper divisors (1661348741).

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

1222900900 is a wasteful number, since it uses less digits than its factorization.

1222900900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The cubic root of 1222900900 is about 1069.3759717684.

Multiplying 1222900900 by its sum of digits (25), we get a square (30572522500 = 1748502).

1222900900 divided by its sum of digits (25) gives a square (48916036 = 69942).

The spelling of 1222900900 in words is "one billion, two hundred twenty-two million, nine hundred thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 269 325 338 538 650 676 845 1076 1300 1345 1690 2690 3380 3497 4225 5380 6725 6994 8450 13450 13988 16900 17485 26900 34970 45461 69940 72361 87425 90922 144722 174850 181844 227305 289444 349700 361805 454610 723610 909220 940693 1136525 1447220 1809025 1881386 2273050 3618050 3762772 4546100 4703465 7236100 9406930 12229009 18813860 23517325 24458018 47034650 48916036 61145045 94069300 122290090 244580180 305725225 611450450 1222900900