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1133003214 = 23471915231
BaseRepresentation
bin100001110001000…
…0100000111001110
32220221221112020000
41003202010013032
54310022100324
6304232105130
740035240240
oct10342040716
92827845200
101133003214
115316070a2
122775351a6
13150967905
14aa690090
15697049c9
hex438841ce

1133003214 has 80 divisors (see below), whose sum is σ = 2917195776. Its totient is φ = 321958800.

The previous prime is 1133003189. The next prime is 1133003243. The reversal of 1133003214 is 4123003311.

1133003214 is a `hidden beast` number, since 11 + 330 + 0 + 321 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 213979 + ... + 219209.

Almost surely, 21133003214 is an apocalyptic number.

1133003214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133003214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458597888).

1133003214 is an abundant number, since it is smaller than the sum of its proper divisors (1784192562).

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

1133003214 is a wasteful number, since it uses less digits than its factorization.

1133003214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5443 (or 5434 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1133003214 is about 33660.1131014143. The cubic root of 1133003214 is about 1042.5023611561.

Adding to 1133003214 its reverse (4123003311), we get a palindrome (5256006525).

The spelling of 1133003214 in words is "one billion, one hundred thirty-three million, three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 191 378 382 567 573 1134 1146 1337 1719 2674 3438 4011 5157 5231 8022 10314 10462 12033 15471 15693 24066 30942 31386 36099 36617 47079 72198 73234 94158 108297 109851 141237 216594 219702 282474 329553 423711 659106 847422 988659 999121 1977318 1998242 2965977 2997363 5931954 5994726 6993847 8992089 13987694 17984178 20981541 26976267 41963082 53952534 62944623 80928801 125889246 161857602 188833869 377667738 566501607 1133003214