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1513225220 = 2251329972069
BaseRepresentation
bin101101000110001…
…1111110000000100
310220110101210202112
41122030133300010
511044341201340
6410053400152
752333126223
oct13214376004
93813353675
101513225220
117071a3561
12362939058
131b1672b50
14104d86cba
158ccad065
hex5a31fc04

1513225220 has 96 divisors (see below), whose sum is σ = 3578450400. Its totient is φ = 533643264.

The previous prime is 1513225159. The next prime is 1513225271. The reversal of 1513225220 is 225223151.

It can be written as a sum of positive squares in 16 ways, for example, as 871312324 + 641912896 = 29518^2 + 25336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 730346 + ... + 732414.

It is an arithmetic number, because the mean of its divisors is an integer number (37275525).

Almost surely, 21513225220 is an apocalyptic number.

1513225220 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 1513225220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789225200).

1513225220 is an abundant number, since it is smaller than the sum of its proper divisors (2065225180).

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

1513225220 is a wasteful number, since it uses less digits than its factorization.

1513225220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 1513225220 is about 38900.1956293281. The cubic root of 1513225220 is about 1148.0686473294.

Adding to 1513225220 its reverse (225223151), we get a palindrome (1738448371).

The spelling of 1513225220 in words is "one billion, five hundred thirteen million, two hundred twenty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 97 116 130 145 194 260 290 377 388 485 580 754 970 1261 1508 1885 1940 2069 2522 2813 3770 4138 5044 5626 6305 7540 8276 10345 11252 12610 14065 20690 25220 26897 28130 36569 41380 53794 56260 60001 73138 107588 120002 134485 146276 182845 200693 240004 268970 300005 365690 401386 537940 600010 731380 780013 802772 1003465 1200020 1560026 2006930 2609009 3120052 3900065 4013860 5218018 5820097 7800130 10436036 11640194 13045045 15600260 23280388 26090090 29100485 52180180 58200970 75661261 116401940 151322522 302645044 378306305 756612610 1513225220