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216104448 = 2937101199
BaseRepresentation
bin11001110000101…
…11111000000000
3120001122020120110
430320113320000
5420310320243
633235511320
75232600060
oct1470277000
9501566513
10216104448
11100a9251a
1260458540
1335a05571
14209b53a0
1513e8ae33
hexce17e00

216104448 has 160 divisors (see below), whose sum is σ = 667814400. Its totient is φ = 60825600.

The previous prime is 216104437. The next prime is 216104501. The reversal of 216104448 is 844401612.

It is a super-2 number, since 2×2161044482 = 93402264890769408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1085853 + ... + 1086051.

It is an arithmetic number, because the mean of its divisors is an integer number (4173840).

Almost surely, 2216104448 is an apocalyptic number.

216104448 is a gapful number since it is divisible by the number (28) 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 216104448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333907200).

216104448 is an abundant number, since it is smaller than the sum of its proper divisors (451709952).

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

216104448 is a wasteful number, since it uses less digits than its factorization.

216104448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 216104448 is about 14700.4914203573. The cubic root of 216104448 is about 600.0966955269.

The spelling of 216104448 in words is "two hundred sixteen million, one hundred four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 101 112 128 168 192 199 202 224 256 303 336 384 398 404 448 512 597 606 672 707 768 796 808 896 1194 1212 1344 1393 1414 1536 1592 1616 1792 2121 2388 2424 2688 2786 2828 3184 3232 3584 4179 4242 4776 4848 5376 5572 5656 6368 6464 8358 8484 9552 9696 10752 11144 11312 12736 12928 16716 16968 19104 19392 20099 22288 22624 25472 25856 33432 33936 38208 38784 40198 44576 45248 50944 51712 60297 66864 67872 76416 77568 80396 89152 90496 101888 120594 133728 135744 140693 152832 155136 160792 178304 180992 241188 267456 271488 281386 305664 321584 356608 361984 422079 482376 534912 542976 562772 643168 713216 844158 964752 1069824 1085952 1125544 1286336 1688316 1929504 2139648 2251088 2572672 3376632 3859008 4502176 5145344 6753264 7718016 9004352 10290688 13506528 15436032 18008704 27013056 30872064 36017408 54026112 72034816 108052224 216104448