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1220025312 = 253211385109
BaseRepresentation
bin100100010111000…
…0001101111100000
310011000200201002200
41020232001233200
54444311302222
6321021213200
742143021052
oct11056015740
93130621080
101220025312
11576744090
122a0701200
131659b628c
14b80638d2
1572193eac
hex48b81be0

1220025312 has 72 divisors (see below), whose sum is σ = 3784861080. Its totient is φ = 369703680.

The previous prime is 1220025277. The next prime is 1220025341. The reversal of 1220025312 is 2135200221.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 189387 + ... + 195722.

It is an arithmetic number, because the mean of its divisors is an integer number (52567515).

Almost surely, 21220025312 is an apocalyptic number.

1220025312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1220025312 is an abundant number, since it is smaller than the sum of its proper divisors (2564835768).

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

1220025312 is a wasteful number, since it uses less digits than its factorization.

1220025312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385136 (or 385125 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1220025312 is about 34928.8607314925. The cubic root of 1220025312 is about 1068.5371198859.

Adding to 1220025312 its reverse (2135200221), we get a palindrome (3355225533).

The spelling of 1220025312 in words is "one billion, two hundred twenty million, twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 385109 770218 1155327 1540436 2310654 3080872 3465981 4236199 4621308 6161744 6931962 8472398 9242616 12323488 12708597 13863924 16944796 18485232 25417194 27727848 33889592 36970464 38125791 50834388 55455696 67779184 76251582 101668776 110911392 135558368 152503164 203337552 305006328 406675104 610012656 1220025312