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1226211921 = 321117827881
BaseRepresentation
bin100100100010110…
…1000001001010001
310011110100000112100
41021011220021101
510002402240141
6321401551013
742246425604
oct11105501121
93143300470
101226211921
1157a18a190
122a27a5469
131670711ac
14b8bd433b
15729b70b6
hex49168251

1226211921 has 48 divisors (see below), whose sum is σ = 2050671168. Its totient is φ = 697804800.

The previous prime is 1226211881. The next prime is 1226211937. The reversal of 1226211921 is 1291126221.

1226211921 is a `hidden beast` number, since 1 + 2 + 2 + 621 + 19 + 21 = 666.

It is not a de Polignac number, because 1226211921 - 27 = 1226211793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1226211971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1391401 + ... + 1392281.

It is an arithmetic number, because the mean of its divisors is an integer number (42722316).

Almost surely, 21226211921 is an apocalyptic number.

1226211921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1226211921 is a deficient number, since it is larger than the sum of its proper divisors (824459247).

1226211921 is a wasteful number, since it uses less digits than its factorization.

1226211921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1739 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 1226211921 is about 35017.3088771824. The cubic root of 1226211921 is about 1070.3402187693.

The spelling of 1226211921 in words is "one billion, two hundred twenty-six million, two hundred eleven thousand, nine hundred twenty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 827 881 1683 2481 2643 7443 7929 9097 9691 14059 14977 27291 29073 42177 44931 81873 87219 126531 134793 154649 164747 463947 494241 728587 1391841 1482723 2185761 6557283 8014457 12385979 24043371 37157937 72130113 111473811 136245769 408737307 1226211921