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1220532032 = 26196771211
BaseRepresentation
bin100100010111111…
…1101011101000000
310011001122110012002
41020233331131000
54444424011112
6321040123132
742150231266
oct11057753500
93131573162
101220532032
11576a5a865
122a09064a8
13165b32b05
14b8156436
15722441c2
hex48bfd740

1220532032 has 112 divisors (see below), whose sum is σ = 2636398080. Its totient is φ = 558835200.

The previous prime is 1220532029. The next prime is 1220532037. The reversal of 1220532032 is 2302350221.

It is a super-3 number, since 3×12205320323 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1220531995 and 1220532013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220532037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5784407 + ... + 5784617.

Almost surely, 21220532032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220532032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318199040).

1220532032 is an abundant number, since it is smaller than the sum of its proper divisors (1415866048).

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

1220532032 is a wasteful number, since it uses less digits than its factorization.

1220532032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 1220532032 is about 34936.1135789315. The cubic root of 1220532032 is about 1068.6850332612.

Adding to 1220532032 its reverse (2302350221), we get a palindrome (3522882253).

The spelling of 1220532032 in words is "one billion, two hundred twenty million, five hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 67 71 76 134 142 152 211 268 284 304 422 536 568 608 844 1072 1136 1216 1273 1349 1688 2144 2272 2546 2698 3376 4009 4288 4544 4757 5092 5396 6752 8018 9514 10184 10792 13504 14137 14981 16036 19028 20368 21584 28274 29962 32072 38056 40736 43168 56548 59924 64144 76112 81472 86336 90383 113096 119848 128288 152224 180766 226192 239696 256576 268603 284639 304448 361532 452384 479392 537206 569278 723064 904768 958784 1003727 1074412 1138556 1446128 2007454 2148824 2277112 2892256 4014908 4297648 4554224 5784512 8029816 8595296 9108448 16059632 17190592 18216896 19070813 32119264 38141626 64238528 76283252 152566504 305133008 610266016 1220532032