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212642034 = 231119374583
BaseRepresentation
bin11001010110010…
…10100011110010
3112211010100000220
430223022203302
5413414021114
633033353510
75161266423
oct1453124362
9484110026
10212642034
11aa038120
125b268896
13350925b7
142035364a
1513a050a9
hexcaca8f2

212642034 has 64 divisors (see below), whose sum is σ = 501672960. Its totient is φ = 59382720.

The previous prime is 212642021. The next prime is 212642083. The reversal of 212642034 is 430246212.

212642034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212641995 and 212642013.

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, 44107 + ... + 48689.

It is an arithmetic number, because the mean of its divisors is an integer number (7838640).

Almost surely, 2212642034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212642034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250836480).

212642034 is an abundant number, since it is smaller than the sum of its proper divisors (289030926).

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

212642034 is a wasteful number, since it uses less digits than its factorization.

212642034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4655.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 212642034 is about 14582.2506493339. The cubic root of 212642034 is about 596.8745194444.

Adding to 212642034 its reverse (430246212), we get a palindrome (642888246).

It can be divided in two parts, 212 and 642034, that added together give a palindrome (642246).

The spelling of 212642034 in words is "two hundred twelve million, six hundred forty-two thousand, thirty-four".

Divisors: 1 2 3 6 11 19 22 33 37 38 57 66 74 111 114 209 222 407 418 627 703 814 1221 1254 1406 2109 2442 4218 4583 7733 9166 13749 15466 23199 27498 46398 50413 87077 100826 151239 169571 174154 261231 302478 339142 508713 522462 957847 1017426 1865281 1915694 2873541 3221849 3730562 5595843 5747082 6443698 9665547 11191686 19331094 35440339 70880678 106321017 212642034