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1145772216 = 2336223881
BaseRepresentation
bin100010001001011…
…0001100010111000
32221211222021000000
41010102301202320
54321304202331
6305405513000
740251621531
oct10422614270
92854867000
101145772216
11538838696
1227b872760
131534b8934
14ac255688
156a8c80e6
hex444b18b8

1145772216 has 112 divisors (see below), whose sum is σ = 3239127360. Its totient is φ = 379779840.

The previous prime is 1145772203. The next prime is 1145772217. The reversal of 1145772216 is 6122775411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145772217) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1300096 + ... + 1300976.

It is an arithmetic number, because the mean of its divisors is an integer number (28920780).

Almost surely, 21145772216 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 1145772216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619563680).

1145772216 is an abundant number, since it is smaller than the sum of its proper divisors (2093355144).

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

1145772216 is an equidigital number, since it uses as much as digits as its factorization.

1145772216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1109 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 1145772216 is about 33849.2572444360. The cubic root of 1145772216 is about 1046.4040910748.

The spelling of 1145772216 in words is "one billion, one hundred forty-five million, seven hundred seventy-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 223 243 324 446 486 648 669 729 881 892 972 1338 1458 1762 1784 1944 2007 2643 2676 2916 3524 4014 5286 5352 5832 6021 7048 7929 8028 10572 12042 15858 16056 18063 21144 23787 24084 31716 36126 47574 48168 54189 63432 71361 72252 95148 108378 142722 144504 162567 190296 196463 214083 216756 285444 325134 392926 428166 433512 570888 589389 642249 650268 785852 856332 1178778 1284498 1300536 1571704 1712664 1768167 2357556 2568996 3536334 4715112 5137992 5304501 7072668 10609002 14145336 15913503 21218004 31827006 42436008 47740509 63654012 95481018 127308024 143221527 190962036 286443054 381924072 572886108 1145772216