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1221010944 = 2934911619
BaseRepresentation
bin100100011000111…
…0010011000000000
310011002112210010120
41020301302120000
510000034322234
6321054300240
742154264446
oct11061623000
93132483116
101221010944
1157725765a
122a0ab7680
13165c6caaa
14b823cb96
15722db049
hex48c72600

1221010944 has 80 divisors (see below), whose sum is σ = 3261487680. Its totient is φ = 405923840.

The previous prime is 1221010943. The next prime is 1221010949. The reversal of 1221010944 is 4490101221.

It is a super-2 number, since 2×12210109442 = 2981735450735542272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221010943) 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, 753367 + ... + 754985.

It is an arithmetic number, because the mean of its divisors is an integer number (40768596).

Almost surely, 21221010944 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 1221010944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630743840).

1221010944 is an abundant number, since it is smaller than the sum of its proper divisors (2040476736).

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

1221010944 is an equidigital number, since it uses as much as digits as its factorization.

1221010944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1221010944 is about 34942.9670176990. The cubic root of 1221010944 is about 1068.8247917564.

The spelling of 1221010944 in words is "one billion, two hundred twenty-one million, ten thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 491 512 768 982 1473 1536 1619 1964 2946 3238 3928 4857 5892 6476 7856 9714 11784 12952 15712 19428 23568 25904 31424 38856 47136 51808 62848 77712 94272 103616 125696 155424 188544 207232 251392 310848 377088 414464 621696 754176 794929 828928 1243392 1589858 2384787 2486784 3179716 4769574 6359432 9539148 12718864 19078296 25437728 38156592 50875456 76313184 101750912 152626368 203501824 305252736 407003648 610505472 1221010944