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1332233420 = 225723340841
BaseRepresentation
bin100111101101000…
…0100010011001100
310102211211110200112
41033122010103030
510212022432140
6340110215152
745004540310
oct11732042314
93384743615
101332233420
11624013761
123121b44b8
131830126cb
14c8d11b40
157be5ac65
hex4f6844cc

1332233420 has 48 divisors (see below), whose sum is σ = 3211161408. Its totient is φ = 454794240.

The previous prime is 1332233417. The next prime is 1332233423. The reversal of 1332233420 is 243322331.

It is an interprime number because it is at equal distance from previous prime (1332233417) and next prime (1332233423).

It is not an unprimeable number, because it can be changed into a prime (1332233423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12200 + ... + 53040.

It is an arithmetic number, because the mean of its divisors is an integer number (66899196).

Almost surely, 21332233420 is an apocalyptic number.

1332233420 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 1332233420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605580704).

1332233420 is an abundant number, since it is smaller than the sum of its proper divisors (1878927988).

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

1332233420 is a wasteful number, since it uses less digits than its factorization.

1332233420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41090 (or 41088 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 1332233420 is about 36499.7728760057. The cubic root of 1332233420 is about 1100.3396802199.

Adding to 1332233420 its reverse (243322331), we get a palindrome (1575555751).

The spelling of 1332233420 in words is "one billion, three hundred thirty-two million, two hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 233 466 932 1165 1631 2330 3262 4660 6524 8155 16310 32620 40841 81682 163364 204205 285887 408410 571774 816820 1143548 1429435 2858870 5717740 9515953 19031906 38063812 47579765 66611671 95159530 133223342 190319060 266446684 333058355 666116710 1332233420