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1220231200 = 25522416329
BaseRepresentation
bin100100010111011…
…0100000000100000
310011001002011112011
41020232310000200
54444334344300
6321025442304
742144536236
oct11056640040
93131064464
101220231200
11576874841
122a07a0394
13165a58bc6
14b80b8956
15721d4eba
hex48bb4020

1220231200 has 72 divisors (see below), whose sum is σ = 2991722580. Its totient is φ = 485990400.

The previous prime is 1220231171. The next prime is 1220231227. The reversal of 1220231200 is 21320221.

It can be written as a sum of positive squares in 6 ways, for example, as 765518224 + 454712976 = 27668^2 + 21324^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189636 + ... + 195964.

Almost surely, 21220231200 is an apocalyptic number.

1220231200 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 1220231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495861290).

1220231200 is an abundant number, since it is smaller than the sum of its proper divisors (1771491380).

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

1220231200 is a wasteful number, since it uses less digits than its factorization.

1220231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6590 (or 6577 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1220231200 is about 34931.8078547332. The cubic root of 1220231200 is about 1068.5972242663.

Adding to 1220231200 its reverse (21320221), we get a palindrome (1241551421).

The spelling of 1220231200 in words is "one billion, two hundred twenty million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 241 400 482 800 964 1205 1928 2410 3856 4820 6025 6329 7712 9640 12050 12658 19280 24100 25316 31645 38560 48200 50632 63290 96400 101264 126580 158225 192800 202528 253160 316450 506320 632900 1012640 1265800 1525289 2531600 3050578 5063200 6101156 7626445 12202312 15252890 24404624 30505780 38132225 48809248 61011560 76264450 122023120 152528900 244046240 305057800 610115600 1220231200