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1220325552 = 2432174311593
BaseRepresentation
bin100100010111100…
…1011000010110000
310011001020221221200
41020233023002300
54444400404202
6321031451200
742145411305
oct11057130260
93131227850
101220325552
11576929716
122a0826b00
13165a8cb34
14b81010ac
1572202e1c
hex48bcb0b0

1220325552 has 120 divisors (see below), whose sum is σ = 3700526544. Its totient is φ = 373911552.

The previous prime is 1220325551. The next prime is 1220325553. The reversal of 1220325552 is 2555230221.

It is an interprime number because it is at equal distance from previous prime (1220325551) and next prime (1220325553).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220325551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99468 + ... + 111060.

Almost surely, 21220325552 is an apocalyptic number.

1220325552 is a gapful number since it is divisible by the number (12) 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 1220325552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850263272).

1220325552 is an abundant number, since it is smaller than the sum of its proper divisors (2480200992).

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

1220325552 is a wasteful number, since it uses less digits than its factorization.

1220325552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11667 (or 11658 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 1220325552 is about 34933.1583456177. The cubic root of 1220325552 is about 1068.6247659558.

Adding to 1220325552 its reverse (2555230221), we get a palindrome (3775555773).

The spelling of 1220325552 in words is "one billion, two hundred twenty million, three hundred twenty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 43 48 51 68 72 86 102 129 136 144 153 172 204 258 272 306 344 387 408 516 612 688 731 774 816 1032 1224 1462 1548 2064 2193 2448 2924 3096 4386 5848 6192 6579 8772 11593 11696 13158 17544 23186 26316 34779 35088 46372 52632 69558 92744 104337 105264 139116 185488 197081 208674 278232 394162 417348 498499 556464 591243 788324 834696 996998 1182486 1495497 1576648 1669392 1773729 1993996 2364972 2990994 3153296 3547458 3987992 4486491 4729944 5981988 7094916 7975984 8474483 8972982 9459888 11963976 14189832 16948966 17945964 23927952 25423449 28379664 33897932 35891928 50846898 67795864 71783856 76270347 101693796 135591728 152540694 203387592 305081388 406775184 610162776 1220325552