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1228362304 = 261323372
BaseRepresentation
bin100100100110111…
…0101001001000000
310011121101021022011
41021031311021000
510003430043204
6321520022304
742303623131
oct11115651100
93147337264
101228362304
11580418864
122a3461994
13167644c00
14b91d3c88
1572c8e304
hex49375240

1228362304 has 63 divisors (see below), whose sum is σ = 2647312587. Its totient is φ = 565254144.

The previous prime is 1228362301. The next prime is 1228362323. The reversal of 1228362304 is 4032638221.

The square root of 1228362304 is 35048.

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 426339904 + 802022400 = 20648^2 + 28320^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1228362301) 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, 3644824 + ... + 3645160.

Almost surely, 21228362304 is an apocalyptic number.

1228362304 is the 35048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1228362304

1228362304 is an abundant number, since it is smaller than the sum of its proper divisors (1418950283).

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

1228362304 is an frugal number, since it uses more digits than its factorization.

1228362304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The cubic root of 1228362304 is about 1070.9655313637.

The spelling of 1228362304 in words is "one billion, two hundred twenty-eight million, three hundred sixty-two thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 337 338 416 674 676 832 1348 1352 2696 2704 4381 5392 5408 8762 10784 10816 17524 21568 35048 56953 70096 113569 113906 140192 227138 227812 280384 454276 455624 908552 911248 1476397 1817104 1822496 2952794 3634208 3644992 5905588 7268416 11811176 19193161 23622352 38386322 47244704 76772644 94489408 153545288 307090576 614181152 1228362304