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212253534 = 23417372083
BaseRepresentation
bin11001010011010…
…11101101011110
3112210101121010000
430221223231132
5413314103114
633021155130
75155060653
oct1451535536
9483347100
10212253534
11a98a2249
125b0bbaa6
1334c8780c
1420291c2a
1513979e09
hexca6bb5e

212253534 has 80 divisors (see below), whose sum is σ = 517440528. Its totient is φ = 64758528.

The previous prime is 212253529. The next prime is 212253563. The reversal of 212253534 is 435352212.

It is a happy number.

212253534 is a `hidden beast` number, since 2 + 122 + 5 + 3 + 534 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 212253498 and 212253507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100857 + ... + 102939.

Almost surely, 2212253534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212253534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258720264).

212253534 is an abundant number, since it is smaller than the sum of its proper divisors (305186994).

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

212253534 is a wasteful number, since it uses less digits than its factorization.

212253534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2142 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 212253534 is about 14568.9235703946. The cubic root of 212253534 is about 596.5107984537.

The spelling of 212253534 in words is "two hundred twelve million, two hundred fifty-three thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 37 51 54 74 81 102 111 153 162 222 306 333 459 629 666 918 999 1258 1377 1887 1998 2083 2754 2997 3774 4166 5661 5994 6249 11322 12498 16983 18747 33966 35411 37494 50949 56241 70822 77071 101898 106233 112482 154142 168723 212466 231213 318699 337446 462426 637398 693639 956097 1310207 1387278 1912194 2080917 2620414 2868291 3930621 4161834 5736582 6242751 7861242 11791863 12485502 23583726 35375589 70751178 106126767 212253534