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2199557136 = 243731474493
BaseRepresentation
bin1000001100011010…
…1001010000010000
312200021212002011010
42003012221100100
514001041312021
61002132050520
7105335633010
oct20306512020
95607762133
102199557136
11a29657917
12514763a40
13290907bca
1416c1a3c40
15cd180976
hex831a9410

2199557136 has 160 divisors (see below), whose sum is σ = 6847561728. Its totient is φ = 595100160.

The previous prime is 2199557099. The next prime is 2199557147. The reversal of 2199557136 is 6317559912.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 487306 + ... + 491798.

Almost surely, 22199557136 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 2199557136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423780864).

2199557136 is an abundant number, since it is smaller than the sum of its proper divisors (4648004592).

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

2199557136 is a wasteful number, since it uses less digits than its factorization.

2199557136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4589 (or 4583 counting only the distinct ones).

The product of its digits is 510300, while the sum is 48.

The square root of 2199557136 is about 46899.4364145242. The cubic root of 2199557136 is about 1300.5041705205.

The spelling of 2199557136 in words is "two billion, one hundred ninety-nine million, five hundred fifty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 47 48 56 62 84 93 94 112 124 141 168 186 188 217 248 282 329 336 372 376 434 496 564 651 658 744 752 868 987 1128 1302 1316 1457 1488 1736 1974 2256 2604 2632 2914 3472 3948 4371 4493 5208 5264 5828 7896 8742 8986 10199 10416 11656 13479 15792 17484 17972 20398 23312 26958 30597 31451 34968 35944 40796 53916 61194 62902 69936 71888 81592 94353 107832 122388 125804 139283 163184 188706 211171 215664 244776 251608 278566 377412 417849 422342 489552 503216 557132 633513 754824 835698 844684 974981 1114264 1267026 1478197 1509648 1671396 1689368 1949962 2228528 2534052 2924943 2956394 3342792 3378736 3899924 4434591 5068104 5849886 5912788 6546301 6685584 7799848 8869182 10136208 11699772 11825576 13092602 15599696 17738364 19638903 23399544 23651152 26185204 35476728 39277806 45824107 46799088 52370408 70953456 78555612 91648214 104740816 137472321 157111224 183296428 274944642 314222448 366592856 549889284 733185712 1099778568 2199557136