Search a number
-
+
2228784100 = 225247212
BaseRepresentation
bin1000010011011000…
…1000101111100100
312202022211222000021
42010312020233210
514031032042400
61005054324524
7106142231554
oct20466105744
95668758007
102228784100
11a440aa534
125224b9744
1329699c07a
14172011164
15d0a0571a
hex84d88be4

2228784100 has 27 divisors (see below), whose sum is σ = 4837486171. Its totient is φ = 891324800.

The previous prime is 2228784079. The next prime is 2228784109. The reversal of 2228784100 is 14878222.

The square root of 2228784100 is 47210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 22791076 + 2205993024 = 4774^2 + 46968^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2228784109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 469740 + ... + 474460.

Almost surely, 22228784100 is an apocalyptic number.

2228784100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2228784100 is the 47210-th square number.

It is an amenable number.

2228784100 is an abundant number, since it is smaller than the sum of its proper divisors (2608702071).

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

2228784100 is an frugal number, since it uses more digits than its factorization.

2228784100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9456 (or 4728 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The cubic root of 2228784100 is about 1306.2390623536.

The spelling of 2228784100 in words is "two billion, two hundred twenty-eight million, seven hundred eighty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4721 9442 18884 23605 47210 94420 118025 236050 472100 22287841 44575682 89151364 111439205 222878410 445756820 557196025 1114392050 2228784100