Search a number
-
+
1220025432 = 2332318112211
BaseRepresentation
bin100100010111000…
…0001110001011000
310011000200201021010
41020232001301120
54444311303212
6321021213520
742143021313
oct11056016130
93130621233
101220025432
1157674418a
122a07012a0
131659b6352
14b806397a
157219403c
hex48b81c58

1220025432 has 64 divisors (see below), whose sum is σ = 3200520960. Its totient is φ = 386812800.

The previous prime is 1220025413. The next prime is 1220025487. The reversal of 1220025432 is 2345200221.

It is a junction number, because it is equal to n+sod(n) for n = 1220025399 and 1220025408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93807 + ... + 106017.

It is an arithmetic number, because the mean of its divisors is an integer number (50008140).

Almost surely, 21220025432 is an apocalyptic number.

1220025432 is a gapful number since it is divisible by the number (12) 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 1220025432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600260480).

1220025432 is an abundant number, since it is smaller than the sum of its proper divisors (1980495528).

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

1220025432 is a wasteful number, since it uses less digits than its factorization.

1220025432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12424 (or 12420 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1220025432 is about 34928.8624492697. The cubic root of 1220025432 is about 1068.5371549192.

Adding to 1220025432 its reverse (2345200221), we get a palindrome (3565225653).

The spelling of 1220025432 in words is "one billion, two hundred twenty million, twenty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 181 184 276 362 543 552 724 1086 1448 2172 4163 4344 8326 12211 12489 16652 24422 24978 33304 36633 48844 49956 73266 97688 99912 146532 280853 293064 561706 842559 1123412 1685118 2210191 2246824 3370236 4420382 6630573 6740472 8840764 13261146 17681528 26522292 50834393 53044584 101668786 152503179 203337572 305006358 406675144 610012716 1220025432