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2229400448 = 27114213761
BaseRepresentation
bin1000010011100001…
…1111001110000000
312202101000021110222
42010320133032000
514031211303243
61005115442212
7106150406522
oct20470371600
95671007428
102229400448
11a44490610
12522756368
13296b56782
14172131a12
15d0ac8168
hex84e1f380

2229400448 has 64 divisors (see below), whose sum is σ = 4857945840. Its totient is φ = 1010688000.

The previous prime is 2229400447. The next prime is 2229400457. The reversal of 2229400448 is 8440049222.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2229400441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 590888 + ... + 594648.

Almost surely, 22229400448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2229400448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428972920).

2229400448 is an abundant number, since it is smaller than the sum of its proper divisors (2628545392).

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

2229400448 is a wasteful number, since it uses less digits than its factorization.

2229400448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4207 (or 4195 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 2229400448 is about 47216.5272759444. The cubic root of 2229400448 is about 1306.3594603815.

The spelling of 2229400448 in words is "two billion, two hundred twenty-nine million, four hundred thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 421 704 842 1408 1684 3368 3761 4631 6736 7522 9262 13472 15044 18524 26944 30088 37048 41371 53888 60176 74096 82742 120352 148192 165484 240704 296384 330968 481408 592768 661936 1323872 1583381 2647744 3166762 5295488 6333524 12667048 17417191 25334096 34834382 50668192 69668764 101336384 139337528 202672768 278675056 557350112 1114700224 2229400448