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1224738216 = 23321312710303
BaseRepresentation
bin100100100000000…
…0000010110101000
310011100120010222200
41021000000112220
510002013110331
6321310220200
742231050232
oct11100002650
93140503880
101224738216
11579372a49
122a21b4660
13166976490
14b892d252
15727c55e6
hex490005a8

1224738216 has 96 divisors (see below), whose sum is σ = 3600629760. Its totient is φ = 373838976.

The previous prime is 1224738149. The next prime is 1224738223. The reversal of 1224738216 is 6128374221.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113721 + ... + 124023.

It is an arithmetic number, because the mean of its divisors is an integer number (37506560).

Almost surely, 21224738216 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 1224738216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800314880).

1224738216 is an abundant number, since it is smaller than the sum of its proper divisors (2375891544).

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

1224738216 is a wasteful number, since it uses less digits than its factorization.

1224738216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10455 (or 10448 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 1224738216 is about 34996.2600287516. The cubic root of 1224738216 is about 1069.9112559235.

The spelling of 1224738216 in words is "one billion, two hundred twenty-four million, seven hundred thirty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 127 156 234 254 312 381 468 508 762 936 1016 1143 1524 1651 2286 3048 3302 4572 4953 6604 9144 9906 10303 13208 14859 19812 20606 29718 30909 39624 41212 59436 61818 82424 92727 118872 123636 133939 185454 247272 267878 370908 401817 535756 741816 803634 1071512 1205451 1308481 1607268 2410902 2616962 3214536 3925443 4821804 5233924 7850886 9643608 10467848 11776329 15701772 17010253 23552658 31403544 34020506 47105316 51030759 68041012 94210632 102061518 136082024 153092277 204123036 306184554 408246072 612369108 1224738216