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2212992 = 273217113
BaseRepresentation
bin1000011100010010000000
311011102122200
420130102000
51031303432
6115233200
724544605
oct10342200
94142580
102212992
111281721
128a8800
135c6382
144186ac
152daa7c
hex21c480

2212992 has 96 divisors (see below), whose sum is σ = 6802380. Its totient is φ = 688128.

The previous prime is 2212979. The next prime is 2213033. The reversal of 2212992 is 2992122.

It can be written as a sum of positive squares in 2 ways, for example, as 2143296 + 69696 = 1464^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 19528 + ... + 19640.

22212992 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 2212992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401190).

2212992 is an abundant number, since it is smaller than the sum of its proper divisors (4589388).

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

2212992 is a wasteful number, since it uses less digits than its factorization.

2212992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 135 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 2212992 is about 1487.6128528619. The cubic root of 2212992 is about 130.3146618174.

The spelling of 2212992 in words is "two million, two hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 113 128 136 144 153 192 204 226 272 288 306 339 384 408 452 544 576 612 678 816 904 1017 1088 1152 1224 1356 1632 1808 1921 2034 2176 2448 2712 3264 3616 3842 4068 4896 5424 5763 6528 7232 7684 8136 9792 10848 11526 14464 15368 16272 17289 19584 21696 23052 30736 32544 34578 43392 46104 61472 65088 69156 92208 122944 130176 138312 184416 245888 276624 368832 553248 737664 1106496 2212992