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1385222816 = 251929251313
BaseRepresentation
bin101001010010000…
…1101001010100000
310120112112121110202
41102210031022200
510314104112231
6345242044332
746220125325
oct12244151240
93515477422
101385222816
11650a1644a
12327aa96a8
13190ca6693
14d1d86b4c
15819265cb
hex5290d2a0

1385222816 has 96 divisors (see below), whose sum is σ = 2991038400. Its totient is φ = 628992000.

The previous prime is 1385222791. The next prime is 1385222833. The reversal of 1385222816 is 6182225831.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 1385222816.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4425476 + ... + 4425788.

It is an arithmetic number, because the mean of its divisors is an integer number (31156650).

Almost surely, 21385222816 is an apocalyptic number.

1385222816 is a gapful number since it is divisible by the number (16) 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 1385222816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495519200).

1385222816 is an abundant number, since it is smaller than the sum of its proper divisors (1605815584).

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

1385222816 is a wasteful number, since it uses less digits than its factorization.

1385222816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 614 counting only the distinct ones).

The product of its digits is 46080, while the sum is 38.

The square root of 1385222816 is about 37218.5815957567. The cubic root of 1385222816 is about 1114.7390424708.

The spelling of 1385222816 in words is "one billion, three hundred eighty-five million, two hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 29 32 38 58 76 116 152 232 251 304 313 464 502 551 608 626 928 1004 1102 1252 2008 2204 2504 4016 4408 4769 5008 5947 7279 8032 8816 9077 9538 10016 11894 14558 17632 18154 19076 23788 29116 36308 38152 47576 58232 72616 76304 78563 95152 116464 138301 145232 152608 157126 172463 190304 232928 276602 290464 314252 344926 553204 628504 689852 1106408 1257008 1379704 1492697 2212816 2278327 2514016 2759408 2985394 4425632 4556654 5518816 5970788 9113308 11941576 18226616 23883152 36453232 43288213 47766304 72906464 86576426 173152852 346305704 692611408 1385222816