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1221080190 = 2351119119373
BaseRepresentation
bin100100011001000…
…0011010001111110
310011002200022010020
41020302003101332
510000044031230
6321055553010
742155003361
oct11062032176
93132608106
101221080190
115772a4690
122a0b2b766
13165c95475
14b825a0d8
1572301810
hex48c8347e

1221080190 has 64 divisors (see below), whose sum is σ = 3213914112. Its totient is φ = 294454400.

The previous prime is 1221080171. The next prime is 1221080207. The reversal of 1221080190 is 910801221.

It is a super-2 number, since 2×12210801902 = 2982073660820872200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1221080190.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53344 + ... + 72716.

It is an arithmetic number, because the mean of its divisors is an integer number (50217408).

Almost surely, 21221080190 is an apocalyptic number.

1221080190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221080190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606957056).

1221080190 is an abundant number, since it is smaller than the sum of its proper divisors (1992833922).

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

1221080190 is a wasteful number, since it uses less digits than its factorization.

1221080190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19585.

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 1221080190 is about 34943.9578468152. The cubic root of 1221080190 is about 1068.8449964463.

The spelling of 1221080190 in words is "one billion, two hundred twenty-one million, eighty thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 191 330 382 573 955 1146 1910 2101 2865 4202 5730 6303 10505 12606 19373 21010 31515 38746 58119 63030 96865 116238 193730 213103 290595 426206 581190 639309 1065515 1278618 2131030 3196545 3700243 6393090 7400486 11100729 18501215 22201458 37002430 40702673 55503645 81405346 111007290 122108019 203513365 244216038 407026730 610540095 1221080190