Search a number
-
+
1220417440 = 255112923911
BaseRepresentation
bin100100010111110…
…0001011110100000
310011001102121222221
41020233201132200
54444411324230
6321033440424
742146243224
oct11057413640
93131377887
101220417440
11576991760
122a0870114
13165ac28c8
14b8126784
157222027a
hex48be17a0

1220417440 has 96 divisors (see below), whose sum is σ = 3253944960. Its totient is φ = 428467200.

The previous prime is 1220417417. The next prime is 1220417447. The reversal of 1220417440 is 447140221.

It is not an unprimeable number, because it can be changed into a prime (1220417447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39085 + ... + 62995.

It is an arithmetic number, because the mean of its divisors is an integer number (33895260).

Almost surely, 21220417440 is an apocalyptic number.

1220417440 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 1220417440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626972480).

1220417440 is an abundant number, since it is smaller than the sum of its proper divisors (2033527520).

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

1220417440 is a wasteful number, since it uses less digits than its factorization.

1220417440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23966 (or 23958 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 1220417440 is about 34934.4735182885. The cubic root of 1220417440 is about 1068.6515870304.

Adding to 1220417440 its reverse (447140221), we get a palindrome (1667557661).

The spelling of 1220417440 in words is "one billion, two hundred twenty million, four hundred seventeen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 80 88 110 116 145 160 176 220 232 290 319 352 440 464 580 638 880 928 1160 1276 1595 1760 2320 2552 3190 4640 5104 6380 10208 12760 23911 25520 47822 51040 95644 119555 191288 239110 263021 382576 478220 526042 693419 765152 956440 1052084 1315105 1386838 1912880 2104168 2630210 2773676 3467095 3825760 4208336 5260420 5547352 6934190 7627609 8416672 10520840 11094704 13868380 15255218 21041680 22189408 27736760 30510436 38138045 42083360 55473520 61020872 76276090 110947040 122041744 152552180 244083488 305104360 610208720 1220417440