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1220042516 = 227113191723
BaseRepresentation
bin100100010111000…
…0101111100010100
310011000201120200212
41020232011330110
54444312330031
6321021424552
742143122160
oct11056057424
93130646625
101220042516
11576756000
122a070b158
131659c1064
14b8069ca0
157219912b
hex48b85f14

1220042516 has 96 divisors (see below), whose sum is σ = 2826808320. Its totient is φ = 450061920.

The previous prime is 1220042513. The next prime is 1220042539. The reversal of 1220042516 is 6152400221.

It is a happy number.

It is a super-2 number, since 2×12200425162 = 2977007481695220512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1220042491 and 1220042500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220042513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707231 + ... + 708953.

It is an arithmetic number, because the mean of its divisors is an integer number (29445920).

Almost surely, 21220042516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220042516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413404160).

1220042516 is an abundant number, since it is smaller than the sum of its proper divisors (1606765804).

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

1220042516 is a wasteful number, since it uses less digits than its factorization.

1220042516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 1220042516 is about 34929.1070026132. The cubic root of 1220042516 is about 1068.5421424664.

Adding to 1220042516 its reverse (6152400221), we get a palindrome (7372442737).

The spelling of 1220042516 in words is "one billion, two hundred twenty million, forty-two thousand, five hundred sixteen".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 121 133 154 209 242 266 308 418 484 532 836 847 1331 1463 1694 1723 2299 2662 2926 3388 3446 4598 5324 5852 6892 9196 9317 12061 16093 18634 18953 24122 25289 32186 32737 37268 37906 48244 50578 64372 65474 75812 101156 130948 132671 177023 208483 229159 265342 354046 360107 416966 458318 530684 708092 720214 833932 916636 1440428 1459381 2293313 2520749 2918762 3961177 4586626 5041498 5837524 7922354 9173252 10082996 15844708 16053191 27728239 32106382 43572947 55456478 64212764 87145894 110912956 174291788 305010629 610021258 1220042516