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1220545332 = 22321934943
BaseRepresentation
bin100100011000000…
…0000101100110100
310011001200010102200
41020300000230310
54444424422312
6321040304500
742150315126
oct11060005464
93131603380
101220545332
11576a69856
122a0912130
13165b38b96
14b815b216
15722480dc
hex48c00b34

1220545332 has 72 divisors (see below), whose sum is σ = 3257304960. Its totient is φ = 385357392.

The previous prime is 1220545297. The next prime is 1220545343. The reversal of 1220545332 is 2335450221.

It is a happy number.

1220545332 is a `hidden beast` number, since 1 + 2 + 205 + 453 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1220545296 and 1220545305.

It is a congruent number.

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, 244453 + ... + 249395.

Almost surely, 21220545332 is an apocalyptic number.

1220545332 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 1220545332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628652480).

1220545332 is an abundant number, since it is smaller than the sum of its proper divisors (2036759628).

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

1220545332 is a wasteful number, since it uses less digits than its factorization.

1220545332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5010 (or 4967 counting only the distinct ones).

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

The square root of 1220545332 is about 34936.3039258591. The cubic root of 1220545332 is about 1068.6889150272.

Adding to 1220545332 its reverse (2335450221), we get a palindrome (3555995553).

The spelling of 1220545332 in words is "one billion, two hundred twenty million, five hundred forty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4332 4943 6498 6859 9886 12996 13718 14829 19772 20577 27436 29658 41154 44487 59316 61731 82308 88974 93917 123462 177948 187834 246924 281751 375668 563502 845253 1127004 1690506 1784423 3381012 3568846 5353269 7137692 10706538 16059807 21413076 32119614 33904037 64239228 67808074 101712111 135616148 203424222 305136333 406848444 610272666 1220545332