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212996304 = 24382029
BaseRepresentation
bin11001011001000…
…01000011010000
3112211210100000000
430230201003100
5414011340204
633045130000
75164303323
oct1454410320
9484710000
10212996304
11aa25a304
125b3b9900
1335187921
14204067ba
1513a75039
hexcb210d0

212996304 has 90 divisors (see below), whose sum is σ = 619294130. Its totient is φ = 70963776.

The previous prime is 212996279. The next prime is 212996359. The reversal of 212996304 is 403699212.

212996304 is a `hidden beast` number, since 2 + 12 + 9 + 9 + 630 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 212576400 + 419904 = 14580^2 + 648^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103962 + ... + 105990.

Almost surely, 2212996304 is an apocalyptic number.

212996304 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 212996304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309647065).

212996304 is an abundant number, since it is smaller than the sum of its proper divisors (406297826).

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

212996304 is an frugal number, since it uses more digits than its factorization.

212996304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 212996304 is about 14594.3928959035. The cubic root of 212996304 is about 597.2058076819.

The spelling of 212996304 in words is "two hundred twelve million, nine hundred ninety-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2029 2187 2916 3888 4058 4374 5832 6087 6561 8116 8748 11664 12174 13122 16232 17496 18261 24348 26244 32464 34992 36522 48696 52488 54783 73044 97392 104976 109566 146088 164349 219132 292176 328698 438264 493047 657396 876528 986094 1314792 1479141 1972188 2629584 2958282 3944376 4437423 5916564 7888752 8874846 11833128 13312269 17749692 23666256 26624538 35499384 53249076 70998768 106498152 212996304