Search a number
-
+
132220400 = 24521347541
BaseRepresentation
bin1111110000110…
…00010111110000
3100012210111021212
413320120113300
5232322023100
621041535252
73163566134
oct770302760
9305714255
10132220400
11686a9164
1238344528
1321515330
14137bb3c4
15b91b635
hex7e185f0

132220400 has 120 divisors (see below), whose sum is σ = 350019264. Its totient is φ = 47692800.

The previous prime is 132220393. The next prime is 132220423. The reversal of 132220400 is 4022231.

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, 244130 + ... + 244670.

Almost surely, 2132220400 is an apocalyptic number.

132220400 is a gapful number since it is divisible by the number (10) 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 132220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175009632).

132220400 is an abundant number, since it is smaller than the sum of its proper divisors (217798864).

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

132220400 is a wasteful number, since it uses less digits than its factorization.

132220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 132220400 is about 11498.7129714590. The cubic root of 132220400 is about 509.4475627741.

Adding to 132220400 its reverse (4022231), we get a palindrome (136242631).

The spelling of 132220400 in words is "one hundred thirty-two million, two hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 47 50 52 65 80 94 100 104 130 188 200 208 235 260 325 376 400 470 520 541 611 650 752 940 1040 1082 1175 1222 1300 1880 2164 2350 2444 2600 2705 3055 3760 4328 4700 4888 5200 5410 6110 7033 8656 9400 9776 10820 12220 13525 14066 15275 18800 21640 24440 25427 27050 28132 30550 35165 43280 48880 50854 54100 56264 61100 70330 101708 108200 112528 122200 127135 140660 175825 203416 216400 244400 254270 281320 330551 351650 406832 508540 562640 635675 661102 703300 1017080 1271350 1322204 1406600 1652755 2034160 2542700 2644408 2813200 3305510 5085400 5288816 6611020 8263775 10170800 13222040 16527550 26444080 33055100 66110200 132220400