Search a number
-
+
1033221480 = 233534924671
BaseRepresentation
bin111101100101011…
…011010101101000
32200000012002102020
4331211123111220
54104001041410
6250305304440
734414144344
oct7545332550
92600162366
101033221480
11490254655
1224a035120
1313609c575
149b318624
1560a94a70
hex3d95b568

1033221480 has 64 divisors (see below), whose sum is σ = 3108672000. Its totient is φ = 274725120.

The previous prime is 1033221437. The next prime is 1033221493. The reversal of 1033221480 is 841223301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1033221480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29545 + ... + 54215.

It is an arithmetic number, because the mean of its divisors is an integer number (48573000).

Almost surely, 21033221480 is an apocalyptic number.

1033221480 is a gapful number since it is divisible by the number (10) 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 1033221480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554336000).

1033221480 is an abundant number, since it is smaller than the sum of its proper divisors (2075450520).

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

1033221480 is a wasteful number, since it uses less digits than its factorization.

1033221480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25034 (or 25030 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1033221480 is about 32143.7626920060. The cubic root of 1033221480 is about 1010.9534113923.

Adding to 1033221480 its reverse (841223301), we get a palindrome (1874444781).

The spelling of 1033221480 in words is "one billion, thirty-three million, two hundred twenty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 349 698 1047 1396 1745 2094 2792 3490 4188 5235 6980 8376 10470 13960 20940 24671 41880 49342 74013 98684 123355 148026 197368 246710 296052 370065 493420 592104 740130 986840 1480260 2960520 8610179 17220358 25830537 34440716 43050895 51661074 68881432 86101790 103322148 129152685 172203580 206644296 258305370 344407160 516610740 1033221480