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1220040024 = 23373148207
BaseRepresentation
bin100100010111000…
…0101010101011000
310011000201110021120
41020232011111120
54444312240044
6321021405240
742143112000
oct11056052530
93130643246
101220040024
11576754145
122a0709820
131659bcb98
14b8069000
1572198519
hex48b85558

1220040024 has 64 divisors (see below), whose sum is σ = 3556992000. Its totient is φ = 348580512.

The previous prime is 1220040013. The next prime is 1220040091. The reversal of 1220040024 is 4200400221.

It is a junction number, because it is equal to n+sod(n) for n = 1220039985 and 1220040012.

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 15 ways as a sum of consecutive naturals, for example, 65872 + ... + 82335.

It is an arithmetic number, because the mean of its divisors is an integer number (55578000).

Almost surely, 21220040024 is an apocalyptic number.

1220040024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1220040024 is an abundant number, since it is smaller than the sum of its proper divisors (2336951976).

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

1220040024 is a wasteful number, since it uses less digits than its factorization.

1220040024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148237 (or 148219 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 1220040024 is about 34929.0713303403. The cubic root of 1220040024 is about 1068.5414149484.

Adding to 1220040024 its reverse (4200400221), we get a palindrome (5420440245).

The spelling of 1220040024 in words is "one billion, two hundred twenty million, forty thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 2058 2744 4116 8232 148207 296414 444621 592828 889242 1037449 1185656 1778484 2074898 3112347 3556968 4149796 6224694 7262143 8299592 12449388 14524286 21786429 24898776 29048572 43572858 50835001 58097144 87145716 101670002 152505003 174291432 203340004 305010006 406680008 610020012 1220040024