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2196321264 = 243319299227
BaseRepresentation
bin1000001011101001…
…0011001111110000
312200001202200101000
42002322103033300
513444224240024
61001534442000
7105266264664
oct20272231760
95601680330
102196321264
11a27847745
12513663300
132900440a7
1416b9a08a4
15ccc41cc9
hex82e933f0

2196321264 has 160 divisors (see below), whose sum is σ = 6865632000. Its totient is φ = 669586176.

The previous prime is 2196321217. The next prime is 2196321271. The reversal of 2196321264 is 4621236912.

It is a happy number.

2196321264 is a `hidden beast` number, since 2 + 1 + 9 + 632 + 12 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 233419 + ... + 242645.

It is an arithmetic number, because the mean of its divisors is an integer number (42910200).

Almost surely, 22196321264 is an apocalyptic number.

2196321264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2196321264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432816000).

2196321264 is an abundant number, since it is smaller than the sum of its proper divisors (4669310736).

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

2196321264 is a wasteful number, since it uses less digits than its factorization.

2196321264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9292 (or 9280 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2196321264 is about 46864.9257334310. The cubic root of 2196321264 is about 1299.8661132332.

The spelling of 2196321264 in words is "two billion, one hundred ninety-six million, three hundred twenty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 29 36 38 48 54 57 58 72 76 87 108 114 116 144 152 171 174 216 228 232 261 304 342 348 432 456 464 513 522 551 684 696 783 912 1026 1044 1102 1368 1392 1566 1653 2052 2088 2204 2736 3132 3306 4104 4176 4408 4959 6264 6612 8208 8816 9227 9918 12528 13224 14877 18454 19836 26448 27681 29754 36908 39672 55362 59508 73816 79344 83043 110724 119016 147632 166086 175313 221448 238032 249129 267583 332172 350626 442896 498258 525939 535166 664344 701252 802749 996516 1051878 1070332 1328688 1402504 1577817 1605498 1993032 2103756 2140664 2408247 2805008 3155634 3210996 3986064 4207512 4281328 4733451 4816494 5084077 6311268 6421992 7224741 8415024 9466902 9632988 10168154 12622536 12843984 14449482 15252231 18933804 19265976 20336308 25245072 28898964 30504462 37867608 38531952 40672616 45756693 57797928 61008924 75735216 81345232 91513386 115595856 122017848 137270079 183026772 244035696 274540158 366053544 549080316 732107088 1098160632 2196321264