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1354023220 = 22511192271427
BaseRepresentation
bin101000010110100…
…1100000100110100
310111100211111200011
41100231030010310
510233112220340
6342205230004
745361002364
oct12055140464
93440744604
101354023220
11635346760
12319562304
131876a1694
14cbb849a4
157dd120ea
hex50b4c134

1354023220 has 96 divisors (see below), whose sum is σ = 3281886720. Its totient is φ = 464077440.

The previous prime is 1354023101. The next prime is 1354023331. The reversal of 1354023220 is 223204531.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1354023191 and 1354023200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 948147 + ... + 949573.

It is an arithmetic number, because the mean of its divisors is an integer number (34186320).

Almost surely, 21354023220 is an apocalyptic number.

1354023220 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 1354023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640943360).

1354023220 is an abundant number, since it is smaller than the sum of its proper divisors (1927863500).

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

1354023220 is a wasteful number, since it uses less digits than its factorization.

1354023220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 1354023220 is about 36797.0545016853. The cubic root of 1354023220 is about 1106.3062621752.

Adding to 1354023220 its reverse (223204531), we get a palindrome (1577227751).

The spelling of 1354023220 in words is "one billion, three hundred fifty-four million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 227 380 418 454 836 908 1045 1135 1427 2090 2270 2497 2854 4180 4313 4540 4994 5708 7135 8626 9988 12485 14270 15697 17252 21565 24970 27113 28540 31394 43130 47443 49940 54226 62788 78485 86260 94886 108452 135565 156970 189772 237215 271130 298243 313940 323929 474430 542260 596486 647858 948860 1192972 1295716 1491215 1619645 2982430 3239290 3563219 5964860 6154651 6478580 7126438 12309302 14252876 17816095 24618604 30773255 35632190 61546510 67701161 71264380 123093020 135402322 270804644 338505805 677011610 1354023220