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212592640140 = 223251769474719
BaseRepresentation
bin1100010111111110000…
…0100100000010001100
3202022201221120002021200
43011333200210002030
511440342203441030
6241355210025500
721234146424366
oct3057740440214
9668657502250
10212592640140
1182184004111
1235250a18290
13170801a362a
14a40a6cbd36
1557e3c5bd60
hex317f82408c

212592640140 has 72 divisors (see below), whose sum is σ = 682797548160. Its totient is φ = 53356583424.

The previous prime is 212592640079. The next prime is 212592640163. The reversal of 212592640140 is 41046295212.

It is a happy number.

212592640140 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 9 + 2 + 640 + 1 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212592640095 and 212592640104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34734300 + ... + 34740419.

It is an arithmetic number, because the mean of its divisors is an integer number (9483299280).

Almost surely, 2212592640140 is an apocalyptic number.

212592640140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212592640140 is an abundant number, since it is smaller than the sum of its proper divisors (470204908020).

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

212592640140 is a wasteful number, since it uses less digits than its factorization.

212592640140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69474751 (or 69474746 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 212592640140 in words is "two hundred twelve billion, five hundred ninety-two million, six hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 69474719 138949438 208424157 277898876 347373595 416848314 625272471 694747190 833696628 1042120785 1181070223 1250544942 1389494380 2084241570 2362140446 2501089884 3126362355 3543210669 4168483140 4724280892 5905351115 6252724710 7086421338 10629632007 11810702230 12505449420 14172842676 17716053345 21259264014 23621404460 35432106690 42518528028 53148160035 70864213380 106296320070 212592640140