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1357922500 = 2254112672
BaseRepresentation
bin101000011110000…
…0100000011000100
310111122011121110221
41100330010003010
510240112010000
6342424554124
745436102504
oct12074040304
93448147427
101357922500
1163756a300
1231a922944
1318843844c
14cc4bba04
157e33261a
hex50f040c4

1357922500 has 135 divisors (see below), whose sum is σ = 3313444827. Its totient is φ = 486420000.

The previous prime is 1357922473. The next prime is 1357922509. The reversal of 1357922500 is 52297531.

The square root of 1357922500 is 36850.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 106461124 + 1251461376 = 10318^2 + 35376^2 .

It is not an unprimeable number, because it can be changed into a prime (1357922509) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20267467 + ... + 20267533.

Almost surely, 21357922500 is an apocalyptic number.

1357922500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1357922500 is the 36850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1357922500

1357922500 is an abundant number, since it is smaller than the sum of its proper divisors (1955522327).

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

1357922500 is an equidigital number, since it uses as much as digits as its factorization.

1357922500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The cubic root of 1357922500 is about 1107.3672148262.

The spelling of 1357922500 in words is "one billion, three hundred fifty-seven million, nine hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 67 100 110 121 125 134 220 242 250 268 275 335 484 500 550 605 625 670 737 1100 1210 1250 1340 1375 1474 1675 2420 2500 2750 2948 3025 3350 3685 4489 5500 6050 6700 6875 7370 8107 8375 8978 12100 13750 14740 15125 16214 16750 17956 18425 22445 27500 30250 32428 33500 36850 40535 41875 44890 49379 60500 73700 75625 81070 83750 89780 92125 98758 112225 151250 162140 167500 184250 197516 202675 224450 246895 302500 368500 405350 448900 460625 493790 543169 561125 810700 921250 987580 1013375 1086338 1122250 1234475 1842500 2026750 2172676 2244500 2468950 2715845 2805625 4053500 4937900 5066875 5431690 5611250 6172375 10133750 10863380 11222500 12344750 13579225 20267500 24689500 27158450 30861875 54316900 61723750 67896125 123447500 135792250 271584500 339480625 678961250 1357922500