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1221196914 = 2327223371627
BaseRepresentation
bin100100011001001…
…1111110001110010
310011002220020020100
41020302133301302
510000111300124
6321102253230
742156000600
oct11062376162
93132806210
101221196914
11577374353
122a0b87216
13166006632
14b828a870
15723261c9
hex48c9fc72

1221196914 has 144 divisors (see below), whose sum is σ = 3300568128. Its totient is φ = 324523584.

The previous prime is 1221196913. The next prime is 1221196957. The reversal of 1221196914 is 4196911221.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1221196913) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 749769 + ... + 751395.

It is an arithmetic number, because the mean of its divisors is an integer number (22920612).

Almost surely, 21221196914 is an apocalyptic number.

1221196914 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221196914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650284064).

1221196914 is an abundant number, since it is smaller than the sum of its proper divisors (2079371214).

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

1221196914 is a wasteful number, since it uses less digits than its factorization.

1221196914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1699 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 1221196914 is about 34945.6279668859. The cubic root of 1221196914 is about 1068.8790526012.

It can be divided in two parts, 1221 and 196914, that added together give a triangular number (198135 = T629).

The spelling of 1221196914 in words is "one billion, two hundred twenty-one million, one hundred ninety-six thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 37 42 46 49 63 69 74 98 111 126 138 147 161 207 222 259 294 322 333 414 441 483 518 666 777 851 882 966 1127 1449 1554 1627 1702 1813 2254 2331 2553 2898 3254 3381 3626 4662 4881 5106 5439 5957 6762 7659 9762 10143 10878 11389 11914 14643 15318 16317 17871 20286 22778 29286 32634 34167 35742 37421 41699 53613 60199 68334 74842 79723 83398 102501 107226 112263 120398 125097 159446 180597 205002 224526 239169 250194 261947 336789 361194 375291 421393 478338 523894 541791 673578 717507 750582 785841 842786 1083582 1264179 1384577 1435014 1571682 1833629 2357523 2528358 2769154 2949751 3667258 3792537 4153731 4715046 5500887 5899502 7585074 8307462 8849253 9692039 11001774 12461193 16502661 17698506 19384078 24922386 26547759 29076117 33005322 53095518 58152234 67844273 87228351 135688546 174456702 203532819 407065638 610598457 1221196914