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1221849948 = 22311191972473
BaseRepresentation
bin100100011010011…
…1111001101011100
310011011010102000210
41020310333031130
510000243144243
6321124252420
742164360514
oct11064771534
93134112023
101221849948
1157777aa50
122a1241110
131661a4947
14b83ba844
1572404933
hex48d3f35c

1221849948 has 96 divisors (see below), whose sum is σ = 3291805440. Its totient is φ = 348848640.

The previous prime is 1221849931. The next prime is 1221849971. The reversal of 1221849948 is 8499481221.

It is a junction number, because it is equal to n+sod(n) for n = 1221849897 and 1221849906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492840 + ... + 495312.

It is an arithmetic number, because the mean of its divisors is an integer number (34289640).

Almost surely, 21221849948 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 1221849948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645902720).

1221849948 is an abundant number, since it is smaller than the sum of its proper divisors (2069955492).

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

1221849948 is a wasteful number, since it uses less digits than its factorization.

1221849948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707 (or 2705 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The square root of 1221849948 is about 34954.9702903607. The cubic root of 1221849948 is about 1069.0695460347.

The spelling of 1221849948 in words is "one billion, two hundred twenty-one million, eight hundred forty-nine thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 197 209 228 394 418 591 627 788 836 1182 1254 2167 2364 2473 2508 3743 4334 4946 6501 7419 7486 8668 9892 11229 13002 14838 14972 22458 26004 27203 29676 41173 44916 46987 54406 81609 82346 93974 108812 123519 140961 163218 164692 187948 247038 281922 326436 487181 494076 516857 563844 974362 1033714 1461543 1550571 1948724 2067428 2923086 3101142 5358991 5846172 6202284 9256439 10717982 16076973 18512878 21435964 27769317 32153946 37025756 55538634 64307892 101820829 111077268 203641658 305462487 407283316 610924974 1221849948