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1220433344 = 261361139173
BaseRepresentation
bin100100010111110…
…0101010111000000
310011001110102210222
41020233211113000
54444412331334
6321034042212
742146340464
oct11057452700
93131412728
101220433344
115769a26a9
122a0879368
13165ac9c10
14b812c4a4
1572224d2e
hex48be55c0

1220433344 has 112 divisors (see below), whose sum is σ = 2685348960. Its totient is φ = 546877440.

The previous prime is 1220433329. The next prime is 1220433359. The reversal of 1220433344 is 4433340221.

It is an interprime number because it is at equal distance from previous prime (1220433329) and next prime (1220433359).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7054442 + ... + 7054614.

It is an arithmetic number, because the mean of its divisors is an integer number (23976330).

Almost surely, 21220433344 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 1220433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342674480).

1220433344 is an abundant number, since it is smaller than the sum of its proper divisors (1464915616).

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

1220433344 is a wasteful number, since it uses less digits than its factorization.

1220433344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 1220433344 is about 34934.7011437052. The cubic root of 1220433344 is about 1068.6562290926.

Adding to 1220433344 its reverse (4433340221), we get a palindrome (5653773565).

The spelling of 1220433344 in words is "one billion, two hundred twenty million, four hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 122 139 173 208 244 278 346 416 488 556 692 793 832 976 1112 1384 1586 1807 1952 2224 2249 2768 3172 3614 3904 4448 4498 5536 6344 7228 8479 8896 8996 10553 11072 12688 14456 16958 17992 21106 24047 25376 28912 33916 35984 42212 48094 50752 57824 67832 71968 84424 96188 110227 115648 135664 137189 143936 168848 192376 220454 271328 274378 312611 337696 384752 440908 542656 548756 625222 675392 769504 881816 1097512 1250444 1466867 1539008 1763632 2195024 2500888 2933734 3527264 4390048 5001776 5867468 7054528 8780096 10003552 11734936 19069271 20007104 23469872 38138542 46939744 76277084 93879488 152554168 305108336 610216672 1220433344