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2196768600 = 233652131961
BaseRepresentation
bin1000001011110000…
…0000011101011000
312200002121102000000
42002330000131120
513444333043400
61001552213000
7105303140115
oct20274003530
95602542000
102196768600
11a28022844
1251383a160
1329016c8a0
1416ba7990c
15cccce600
hex82f00758

2196768600 has 672 divisors, whose sum is σ = 8823133200. Its totient is φ = 503884800.

The previous prime is 2196768599. The next prime is 2196768631. The reversal of 2196768600 is 68676912.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 36012570 + ... + 36012630.

Almost surely, 22196768600 is an apocalyptic number.

2196768600 is a gapful number since it is divisible by the number (20) 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 2196768600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411566600).

2196768600 is an abundant number, since it is smaller than the sum of its proper divisors (6626364600).

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

2196768600 is a wasteful number, since it uses less digits than its factorization.

2196768600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2196768600 is about 46869.6981001585. The cubic root of 2196768600 is about 1299.9543573719.

The spelling of 2196768600 in words is "two billion, one hundred ninety-six million, seven hundred sixty-eight thousand, six hundred".