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1220048896 = 21111311747
BaseRepresentation
bin100100010111000…
…0111100000000000
310011000201220110011
41020232013200000
54444313031041
6321021514304
742143146603
oct11056074000
93130656404
101220048896
1157675a880
122a0712994
131659c3c31
14b806c33a
157219ae81
hex48b87800

1220048896 has 96 divisors (see below), whose sum is σ = 2748695040. Its totient is φ = 536371200.

The previous prime is 1220048857. The next prime is 1220048899. The reversal of 1220048896 is 6988400221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220048899) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 697495 + ... + 699241.

It is an arithmetic number, because the mean of its divisors is an integer number (28632240).

Almost surely, 21220048896 is an apocalyptic number.

1220048896 is a gapful number since it is divisible by the number (16) 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 1220048896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374347520).

1220048896 is an abundant number, since it is smaller than the sum of its proper divisors (1528646144).

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

1220048896 is a wasteful number, since it uses less digits than its factorization.

1220048896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 1220048896 is about 34929.1983303368. The cubic root of 1220048896 is about 1068.5440050482.

The spelling of 1220048896 in words is "one billion, two hundred twenty million, forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 496 512 682 704 992 1024 1364 1408 1747 1984 2048 2728 2816 3494 3968 5456 5632 6988 7936 10912 11264 13976 15872 19217 21824 22528 27952 31744 38434 43648 54157 55904 63488 76868 87296 108314 111808 153736 174592 216628 223616 307472 349184 433256 447232 595727 614944 698368 866512 894464 1191454 1229888 1733024 1788928 2382908 2459776 3466048 3577856 4765816 4919552 6932096 9531632 9839104 13864192 19063264 19678208 27728384 38126528 39356416 55456768 76253056 110913536 152506112 305012224 610024448 1220048896