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1148212224 = 21032314019
BaseRepresentation
bin100010001110000…
…0101010000000000
32222000120020001200
41010130011100000
54322420242344
6305534101200
740311433335
oct10434052000
92860506050
101148212224
1153a154925
1228064a800
13153b61423
14ac6cc98c
156ac0b069
hex44705400

1148212224 has 132 divisors (see below), whose sum is σ = 3423239040. Its totient is φ = 370298880.

The previous prime is 1148212223. The next prime is 1148212259. The reversal of 1148212224 is 4222128411.

It is a super-2 number, since 2×11482122242 = 2636782622686052352, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148212223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283687 + ... + 287705.

Almost surely, 21148212224 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 1148212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711619520).

1148212224 is an abundant number, since it is smaller than the sum of its proper divisors (2275026816).

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

1148212224 is a wasteful number, since it uses less digits than its factorization.

1148212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 4055 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 1148212224 is about 33885.2803441258. The cubic root of 1148212224 is about 1047.1463631205.

The spelling of 1148212224 in words is "one billion, one hundred forty-eight million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1024 1116 1152 1488 1536 1984 2232 2304 2976 3072 3968 4019 4464 4608 5952 7936 8038 8928 9216 11904 12057 15872 16076 17856 23808 24114 31744 32152 35712 36171 47616 48228 64304 71424 72342 95232 96456 124589 128608 142848 144684 192912 249178 257216 285696 289368 373767 385824 498356 514432 578736 747534 771648 996712 1028864 1121301 1157472 1495068 1543296 1993424 2057728 2242602 2314944 2990136 3086592 3986848 4115456 4485204 4629888 5980272 6173184 7973696 8970408 9259776 11960544 12346368 15947392 17940816 18519552 23921088 31894784 35881632 37039104 47842176 63789568 71763264 95684352 127579136 143526528 191368704 287053056 382737408 574106112 1148212224